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Finding the Third Proportional to 695,195,358.75 and 974,314,514.25

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Solution

The third proportional to 695,195,358.75 and 974,314,514.25 is: 1,365,499,295.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    695,195,358.75 : 974,314,514.25 = 974,314,514.25 : x
  2. Step 2: Convert to fraction form
    695,195,358.75/974,314,514.25 = 974,314,514.25/x
  3. Step 3: Cross multiply
    695,195,358.75x = 974,314,514.25 × 974,314,514.25
  4. Step 4: Simplify right side
    695,195,358.75x = 949,288,772,678,213,504
  5. Step 5: Solve for x
    x = 949,288,772,678,213,504/695,195,358.75
  6. Step 6: Final answer
    x = 1,365,499,295.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.