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Finding the Third Proportional to 274,272 and 414,332

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Solution

The third proportional to 274,272 and 414,332 is: 625,915.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,272 : 414,332 = 414,332 : x
  2. Step 2: Convert to fraction form
    274,272/414,332 = 414,332/x
  3. Step 3: Cross multiply
    274,272x = 414,332 × 414,332
  4. Step 4: Simplify right side
    274,272x = 171,671,006,224
  5. Step 5: Solve for x
    x = 171,671,006,224/274,272
  6. Step 6: Final answer
    x = 625,915.17

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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.