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Finding the Third Proportional to 602,381 and 883,452

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Solution

The third proportional to 602,381 and 883,452 is: 1,295,670.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,381 : 883,452 = 883,452 : x
  2. Step 2: Convert to fraction form
    602,381/883,452 = 883,452/x
  3. Step 3: Cross multiply
    602,381x = 883,452 × 883,452
  4. Step 4: Simplify right side
    602,381x = 780,487,436,304
  5. Step 5: Solve for x
    x = 780,487,436,304/602,381
  6. Step 6: Final answer
    x = 1,295,670.74

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.