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Finding the Third Proportional to 251,539 and 380,549

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Solution

The third proportional to 251,539 and 380,549 is: 575,726.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,539 : 380,549 = 380,549 : x
  2. Step 2: Convert to fraction form
    251,539/380,549 = 380,549/x
  3. Step 3: Cross multiply
    251,539x = 380,549 × 380,549
  4. Step 4: Simplify right side
    251,539x = 144,817,541,401
  5. Step 5: Solve for x
    x = 144,817,541,401/251,539
  6. Step 6: Final answer
    x = 575,726.00

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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.