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Finding the Third Proportional to 469,867.50 and 715,816.50

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Solution

The third proportional to 469,867.50 and 715,816.50 is: 1,090,505.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,867.50 : 715,816.50 = 715,816.50 : x
  2. Step 2: Convert to fraction form
    469,867.50/715,816.50 = 715,816.50/x
  3. Step 3: Cross multiply
    469,867.50x = 715,816.50 × 715,816.50
  4. Step 4: Simplify right side
    469,867.50x = 512,393,261,672.25
  5. Step 5: Solve for x
    x = 512,393,261,672.25/469,867.50
  6. Step 6: Final answer
    x = 1,090,505.86

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.