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Finding the Third Proportional to 343,413 and 752,436

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Solution

The third proportional to 343,413 and 752,436 is: 1,648,626.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,413 : 752,436 = 752,436 : x
  2. Step 2: Convert to fraction form
    343,413/752,436 = 752,436/x
  3. Step 3: Cross multiply
    343,413x = 752,436 × 752,436
  4. Step 4: Simplify right side
    343,413x = 566,159,934,096
  5. Step 5: Solve for x
    x = 566,159,934,096/343,413
  6. Step 6: Final answer
    x = 1,648,626.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.