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Finding the Third Proportional to 397,772 and 602,436

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Solution

The third proportional to 397,772 and 602,436 is: 912,404.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,772 : 602,436 = 602,436 : x
  2. Step 2: Convert to fraction form
    397,772/602,436 = 602,436/x
  3. Step 3: Cross multiply
    397,772x = 602,436 × 602,436
  4. Step 4: Simplify right side
    397,772x = 362,929,134,096
  5. Step 5: Solve for x
    x = 362,929,134,096/397,772
  6. Step 6: Final answer
    x = 912,404.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.