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Finding the Third Proportional to 631,712 and 834,672

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Solution

The third proportional to 631,712 and 834,672 is: 1,102,840.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,712 : 834,672 = 834,672 : x
  2. Step 2: Convert to fraction form
    631,712/834,672 = 834,672/x
  3. Step 3: Cross multiply
    631,712x = 834,672 × 834,672
  4. Step 4: Simplify right side
    631,712x = 696,677,347,584
  5. Step 5: Solve for x
    x = 696,677,347,584/631,712
  6. Step 6: Final answer
    x = 1,102,840.14

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.