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Finding the Third Proportional to 342,730 and 743,780

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Solution

The third proportional to 342,730 and 743,780 is: 1,614,123.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,730 : 743,780 = 743,780 : x
  2. Step 2: Convert to fraction form
    342,730/743,780 = 743,780/x
  3. Step 3: Cross multiply
    342,730x = 743,780 × 743,780
  4. Step 4: Simplify right side
    342,730x = 553,208,688,400
  5. Step 5: Solve for x
    x = 553,208,688,400/342,730
  6. Step 6: Final answer
    x = 1,614,123.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.