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Finding the Third Proportional to 338,545.50 and 514,467

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Solution

The third proportional to 338,545.50 and 514,467 is: 781,804.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,545.50 : 514,467 = 514,467 : x
  2. Step 2: Convert to fraction form
    338,545.50/514,467 = 514,467/x
  3. Step 3: Cross multiply
    338,545.50x = 514,467 × 514,467
  4. Step 4: Simplify right side
    338,545.50x = 264,676,294,089
  5. Step 5: Solve for x
    x = 264,676,294,089/338,545.50
  6. Step 6: Final answer
    x = 781,804.20

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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.