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Finding the Third Proportional to 432,250 and 694,506

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Solution

The third proportional to 432,250 and 694,506 is: 1,115,878.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,250 : 694,506 = 694,506 : x
  2. Step 2: Convert to fraction form
    432,250/694,506 = 694,506/x
  3. Step 3: Cross multiply
    432,250x = 694,506 × 694,506
  4. Step 4: Simplify right side
    432,250x = 482,338,584,036
  5. Step 5: Solve for x
    x = 482,338,584,036/432,250
  6. Step 6: Final answer
    x = 1,115,878.74

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.