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Finding the Third Proportional to 506,854.50 and 708,612

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Solution

The third proportional to 506,854.50 and 708,612 is: 990,680.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,854.50 : 708,612 = 708,612 : x
  2. Step 2: Convert to fraction form
    506,854.50/708,612 = 708,612/x
  3. Step 3: Cross multiply
    506,854.50x = 708,612 × 708,612
  4. Step 4: Simplify right side
    506,854.50x = 502,130,966,544
  5. Step 5: Solve for x
    x = 502,130,966,544/506,854.50
  6. Step 6: Final answer
    x = 990,680.69

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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.