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Finding the Third Proportional to 432,275 and 694,550

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Solution

The third proportional to 432,275 and 694,550 is: 1,115,955.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,275 : 694,550 = 694,550 : x
  2. Step 2: Convert to fraction form
    432,275/694,550 = 694,550/x
  3. Step 3: Cross multiply
    432,275x = 694,550 × 694,550
  4. Step 4: Simplify right side
    432,275x = 482,399,702,500
  5. Step 5: Solve for x
    x = 482,399,702,500/432,275
  6. Step 6: Final answer
    x = 1,115,955.59

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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.