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Finding the Third Proportional to 290,324.53 and 625,140.84

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Solution

The third proportional to 290,324.53 and 625,140.84 is: 1,346,083.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,324.53 : 625,140.84 = 625,140.84 : x
  2. Step 2: Convert to fraction form
    290,324.53/625,140.84 = 625,140.84/x
  3. Step 3: Cross multiply
    290,324.53x = 625,140.84 × 625,140.84
  4. Step 4: Simplify right side
    290,324.53x = 390,801,074,524.46
  5. Step 5: Solve for x
    x = 390,801,074,524.46/290,324.53
  6. Step 6: Final answer
    x = 1,346,083.55

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.