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Finding the Third Proportional to 289,372.50 and 625,536

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Solution

The third proportional to 289,372.50 and 625,536 is: 1,352,220.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,372.50 : 625,536 = 625,536 : x
  2. Step 2: Convert to fraction form
    289,372.50/625,536 = 625,536/x
  3. Step 3: Cross multiply
    289,372.50x = 625,536 × 625,536
  4. Step 4: Simplify right side
    289,372.50x = 391,295,287,296
  5. Step 5: Solve for x
    x = 391,295,287,296/289,372.50
  6. Step 6: Final answer
    x = 1,352,220.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.