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Finding the Third Proportional to 338,845 and 736,712

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Solution

The third proportional to 338,845 and 736,712 is: 1,601,748.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,845 : 736,712 = 736,712 : x
  2. Step 2: Convert to fraction form
    338,845/736,712 = 736,712/x
  3. Step 3: Cross multiply
    338,845x = 736,712 × 736,712
  4. Step 4: Simplify right side
    338,845x = 542,744,570,944
  5. Step 5: Solve for x
    x = 542,744,570,944/338,845
  6. Step 6: Final answer
    x = 1,601,748.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.