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Finding the Third Proportional to 342,382 and 763,442

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Solution

The third proportional to 342,382 and 763,442 is: 1,702,319.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,382 : 763,442 = 763,442 : x
  2. Step 2: Convert to fraction form
    342,382/763,442 = 763,442/x
  3. Step 3: Cross multiply
    342,382x = 763,442 × 763,442
  4. Step 4: Simplify right side
    342,382x = 582,843,687,364
  5. Step 5: Solve for x
    x = 582,843,687,364/342,382
  6. Step 6: Final answer
    x = 1,702,319.89

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.