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Finding the Third Proportional to 506,931 and 708,727.50

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Solution

The third proportional to 506,931 and 708,727.50 is: 990,854.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,931 : 708,727.50 = 708,727.50 : x
  2. Step 2: Convert to fraction form
    506,931/708,727.50 = 708,727.50/x
  3. Step 3: Cross multiply
    506,931x = 708,727.50 × 708,727.50
  4. Step 4: Simplify right side
    506,931x = 502,294,669,256.25
  5. Step 5: Solve for x
    x = 502,294,669,256.25/506,931
  6. Step 6: Final answer
    x = 990,854.12

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