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Finding the Third Proportional to 432,237 and 694,488

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Solution

The third proportional to 432,237 and 694,488 is: 1,115,854.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,237 : 694,488 = 694,488 : x
  2. Step 2: Convert to fraction form
    432,237/694,488 = 694,488/x
  3. Step 3: Cross multiply
    432,237x = 694,488 × 694,488
  4. Step 4: Simplify right side
    432,237x = 482,313,582,144
  5. Step 5: Solve for x
    x = 482,313,582,144/432,237
  6. Step 6: Final answer
    x = 1,115,854.46

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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.