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Finding the Third Proportional to 338,802 and 736,650

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Solution

The third proportional to 338,802 and 736,650 is: 1,601,682.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,802 : 736,650 = 736,650 : x
  2. Step 2: Convert to fraction form
    338,802/736,650 = 736,650/x
  3. Step 3: Cross multiply
    338,802x = 736,650 × 736,650
  4. Step 4: Simplify right side
    338,802x = 542,653,222,500
  5. Step 5: Solve for x
    x = 542,653,222,500/338,802
  6. Step 6: Final answer
    x = 1,601,682.46

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