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Finding the Third Proportional to 251,524 and 380,537

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Solution

The third proportional to 251,524 and 380,537 is: 575,724.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,524 : 380,537 = 380,537 : x
  2. Step 2: Convert to fraction form
    251,524/380,537 = 380,537/x
  3. Step 3: Cross multiply
    251,524x = 380,537 × 380,537
  4. Step 4: Simplify right side
    251,524x = 144,808,408,369
  5. Step 5: Solve for x
    x = 144,808,408,369/251,524
  6. Step 6: Final answer
    x = 575,724.02

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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.