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Finding the Third Proportional to 385,578 and 602,982

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Solution

The third proportional to 385,578 and 602,982 is: 942,966.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,578 : 602,982 = 602,982 : x
  2. Step 2: Convert to fraction form
    385,578/602,982 = 602,982/x
  3. Step 3: Cross multiply
    385,578x = 602,982 × 602,982
  4. Step 4: Simplify right side
    385,578x = 363,587,292,324
  5. Step 5: Solve for x
    x = 363,587,292,324/385,578
  6. Step 6: Final answer
    x = 942,966.90

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.