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Finding the Third Proportional to 432,108 and 676,306

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Solution

The third proportional to 432,108 and 676,306 is: 1,058,508.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,108 : 676,306 = 676,306 : x
  2. Step 2: Convert to fraction form
    432,108/676,306 = 676,306/x
  3. Step 3: Cross multiply
    432,108x = 676,306 × 676,306
  4. Step 4: Simplify right side
    432,108x = 457,389,805,636
  5. Step 5: Solve for x
    x = 457,389,805,636/432,108
  6. Step 6: Final answer
    x = 1,058,508.07

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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.