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Finding the Third Proportional to 456,545.50 and 709,685.50

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Solution

The third proportional to 456,545.50 and 709,685.50 is: 1,103,183.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,545.50 : 709,685.50 = 709,685.50 : x
  2. Step 2: Convert to fraction form
    456,545.50/709,685.50 = 709,685.50/x
  3. Step 3: Cross multiply
    456,545.50x = 709,685.50 × 709,685.50
  4. Step 4: Simplify right side
    456,545.50x = 503,653,508,910.25
  5. Step 5: Solve for x
    x = 503,653,508,910.25/456,545.50
  6. Step 6: Final answer
    x = 1,103,183.60

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.