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Finding the Third Proportional to 393,982 and 602,410

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Solution

The third proportional to 393,982 and 602,410 is: 921,102.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,982 : 602,410 = 602,410 : x
  2. Step 2: Convert to fraction form
    393,982/602,410 = 602,410/x
  3. Step 3: Cross multiply
    393,982x = 602,410 × 602,410
  4. Step 4: Simplify right side
    393,982x = 362,897,808,100
  5. Step 5: Solve for x
    x = 362,897,808,100/393,982
  6. Step 6: Final answer
    x = 921,102.51

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.