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Finding the Third Proportional to 342,160 and 746,432

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Solution

The third proportional to 342,160 and 746,432 is: 1,628,363.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,160 : 746,432 = 746,432 : x
  2. Step 2: Convert to fraction form
    342,160/746,432 = 746,432/x
  3. Step 3: Cross multiply
    342,160x = 746,432 × 746,432
  4. Step 4: Simplify right side
    342,160x = 557,160,730,624
  5. Step 5: Solve for x
    x = 557,160,730,624/342,160
  6. Step 6: Final answer
    x = 1,628,363.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.