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Finding the Third Proportional to 731,456 and 970,842

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Solution

The third proportional to 731,456 and 970,842 is: 1,288,572.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,456 : 970,842 = 970,842 : x
  2. Step 2: Convert to fraction form
    731,456/970,842 = 970,842/x
  3. Step 3: Cross multiply
    731,456x = 970,842 × 970,842
  4. Step 4: Simplify right side
    731,456x = 942,534,188,964
  5. Step 5: Solve for x
    x = 942,534,188,964/731,456
  6. Step 6: Final answer
    x = 1,288,572.64

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.