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Finding the Third Proportional to 338,790 and 736,627.50

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Solution

The third proportional to 338,790 and 736,627.50 is: 1,601,641.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,790 : 736,627.50 = 736,627.50 : x
  2. Step 2: Convert to fraction form
    338,790/736,627.50 = 736,627.50/x
  3. Step 3: Cross multiply
    338,790x = 736,627.50 × 736,627.50
  4. Step 4: Simplify right side
    338,790x = 542,620,073,756.25
  5. Step 5: Solve for x
    x = 542,620,073,756.25/338,790
  6. Step 6: Final answer
    x = 1,601,641.35

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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.