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Finding the Third Proportional to 432,910.13 and 651,961.97

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Solution

The third proportional to 432,910.13 and 651,961.97 is: 981,853.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,910.13 : 651,961.97 = 651,961.97 : x
  2. Step 2: Convert to fraction form
    432,910.13/651,961.97 = 651,961.97/x
  3. Step 3: Cross multiply
    432,910.13x = 651,961.97 × 651,961.97
  4. Step 4: Simplify right side
    432,910.13x = 425,054,408,696.38
  5. Step 5: Solve for x
    x = 425,054,408,696.38/432,910.13
  6. Step 6: Final answer
    x = 981,853.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.