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Finding the Third Proportional to 728,053.50 and 1,102,269

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Solution

The third proportional to 728,053.50 and 1,102,269 is: 1,668,829.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,053.50 : 1,102,269 = 1,102,269 : x
  2. Step 2: Convert to fraction form
    728,053.50/1,102,269 = 1,102,269/x
  3. Step 3: Cross multiply
    728,053.50x = 1,102,269 × 1,102,269
  4. Step 4: Simplify right side
    728,053.50x = 1,214,996,948,361
  5. Step 5: Solve for x
    x = 1,214,996,948,361/728,053.50
  6. Step 6: Final answer
    x = 1,668,829.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.