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Finding the Third Proportional to 499,729.50 and 730,925.02

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Solution

The third proportional to 499,729.50 and 730,925.02 is: 1,069,081.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,729.50 : 730,925.02 = 730,925.02 : x
  2. Step 2: Convert to fraction form
    499,729.50/730,925.02 = 730,925.02/x
  3. Step 3: Cross multiply
    499,729.50x = 730,925.02 × 730,925.02
  4. Step 4: Simplify right side
    499,729.50x = 534,251,378,466.41
  5. Step 5: Solve for x
    x = 534,251,378,466.41/499,729.50
  6. Step 6: Final answer
    x = 1,069,081.13

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.