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Finding the Third Proportional to 432,918 and 632,619

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Solution

The third proportional to 432,918 and 632,619 is: 924,440.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,918 : 632,619 = 632,619 : x
  2. Step 2: Convert to fraction form
    432,918/632,619 = 632,619/x
  3. Step 3: Cross multiply
    432,918x = 632,619 × 632,619
  4. Step 4: Simplify right side
    432,918x = 400,206,799,161
  5. Step 5: Solve for x
    x = 400,206,799,161/432,918
  6. Step 6: Final answer
    x = 924,440.19

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.