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Finding the Third Proportional to 306,700.50 and 465,569.25

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Solution

The third proportional to 306,700.50 and 465,569.25 is: 706,730.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,700.50 : 465,569.25 = 465,569.25 : x
  2. Step 2: Convert to fraction form
    306,700.50/465,569.25 = 465,569.25/x
  3. Step 3: Cross multiply
    306,700.50x = 465,569.25 × 465,569.25
  4. Step 4: Simplify right side
    306,700.50x = 216,754,726,545.56
  5. Step 5: Solve for x
    x = 216,754,726,545.56/306,700.50
  6. Step 6: Final answer
    x = 706,730.92

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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.