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Finding the Third Proportional to 356,232 and 510,282

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Solution

The third proportional to 356,232 and 510,282 is: 730,949.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,232 : 510,282 = 510,282 : x
  2. Step 2: Convert to fraction form
    356,232/510,282 = 510,282/x
  3. Step 3: Cross multiply
    356,232x = 510,282 × 510,282
  4. Step 4: Simplify right side
    356,232x = 260,387,719,524
  5. Step 5: Solve for x
    x = 260,387,719,524/356,232
  6. Step 6: Final answer
    x = 730,949.83

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.