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Finding the Third Proportional to 288,426 and 625,524

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Solution

The third proportional to 288,426 and 625,524 is: 1,356,605.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,426 : 625,524 = 625,524 : x
  2. Step 2: Convert to fraction form
    288,426/625,524 = 625,524/x
  3. Step 3: Cross multiply
    288,426x = 625,524 × 625,524
  4. Step 4: Simplify right side
    288,426x = 391,280,274,576
  5. Step 5: Solve for x
    x = 391,280,274,576/288,426
  6. Step 6: Final answer
    x = 1,356,605.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.