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Finding the Third Proportional to 290,400.19 and 625,299.75

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Solution

The third proportional to 290,400.19 and 625,299.75 is: 1,346,417.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,400.19 : 625,299.75 = 625,299.75 : x
  2. Step 2: Convert to fraction form
    290,400.19/625,299.75 = 625,299.75/x
  3. Step 3: Cross multiply
    290,400.19x = 625,299.75 × 625,299.75
  4. Step 4: Simplify right side
    290,400.19x = 390,999,777,350.06
  5. Step 5: Solve for x
    x = 390,999,777,350.06/290,400.19
  6. Step 6: Final answer
    x = 1,346,417.10

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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.