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Finding the Third Proportional to 506,851.50 and 708,609.38

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Solution

The third proportional to 506,851.50 and 708,609.38 is: 990,679.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,851.50 : 708,609.38 = 708,609.38 : x
  2. Step 2: Convert to fraction form
    506,851.50/708,609.38 = 708,609.38/x
  3. Step 3: Cross multiply
    506,851.50x = 708,609.38 × 708,609.38
  4. Step 4: Simplify right side
    506,851.50x = 502,127,246,337.89
  5. Step 5: Solve for x
    x = 502,127,246,337.89/506,851.50
  6. Step 6: Final answer
    x = 990,679.22

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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.