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Finding the Third Proportional to 286,542 and 625,572

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Solution

The third proportional to 286,542 and 625,572 is: 1,365,734.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,542 : 625,572 = 625,572 : x
  2. Step 2: Convert to fraction form
    286,542/625,572 = 625,572/x
  3. Step 3: Cross multiply
    286,542x = 625,572 × 625,572
  4. Step 4: Simplify right side
    286,542x = 391,340,327,184
  5. Step 5: Solve for x
    x = 391,340,327,184/286,542
  6. Step 6: Final answer
    x = 1,365,734.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.