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Finding the Third Proportional to 432,110 and 676,309

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Solution

The third proportional to 432,110 and 676,309 is: 1,058,512.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,110 : 676,309 = 676,309 : x
  2. Step 2: Convert to fraction form
    432,110/676,309 = 676,309/x
  3. Step 3: Cross multiply
    432,110x = 676,309 × 676,309
  4. Step 4: Simplify right side
    432,110x = 457,393,863,481
  5. Step 5: Solve for x
    x = 457,393,863,481/432,110
  6. Step 6: Final answer
    x = 1,058,512.56

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.