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Finding the Third Proportional to 369,032 and 471,549

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Solution

The third proportional to 369,032 and 471,549 is: 602,545.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,032 : 471,549 = 471,549 : x
  2. Step 2: Convert to fraction form
    369,032/471,549 = 471,549/x
  3. Step 3: Cross multiply
    369,032x = 471,549 × 471,549
  4. Step 4: Simplify right side
    369,032x = 222,358,459,401
  5. Step 5: Solve for x
    x = 222,358,459,401/369,032
  6. Step 6: Final answer
    x = 602,545.20

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.