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Finding the Third Proportional to 347,869.50 and 748,329

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Solution

The third proportional to 347,869.50 and 748,329 is: 1,609,788.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,869.50 : 748,329 = 748,329 : x
  2. Step 2: Convert to fraction form
    347,869.50/748,329 = 748,329/x
  3. Step 3: Cross multiply
    347,869.50x = 748,329 × 748,329
  4. Step 4: Simplify right side
    347,869.50x = 559,996,292,241
  5. Step 5: Solve for x
    x = 559,996,292,241/347,869.50
  6. Step 6: Final answer
    x = 1,609,788.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.