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Finding the Third Proportional to 653,359.50 and 980,039.25

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Solution

The third proportional to 653,359.50 and 980,039.25 is: 1,470,058.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,359.50 : 980,039.25 = 980,039.25 : x
  2. Step 2: Convert to fraction form
    653,359.50/980,039.25 = 980,039.25/x
  3. Step 3: Cross multiply
    653,359.50x = 980,039.25 × 980,039.25
  4. Step 4: Simplify right side
    653,359.50x = 960,476,931,540.56
  5. Step 5: Solve for x
    x = 960,476,931,540.56/653,359.50
  6. Step 6: Final answer
    x = 1,470,058.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.