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Finding the Third Proportional to 340,465.78 and 747,052.88

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Solution

The third proportional to 340,465.78 and 747,052.88 is: 1,639,189.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,465.78 : 747,052.88 = 747,052.88 : x
  2. Step 2: Convert to fraction form
    340,465.78/747,052.88 = 747,052.88/x
  3. Step 3: Cross multiply
    340,465.78x = 747,052.88 × 747,052.88
  4. Step 4: Simplify right side
    340,465.78x = 558,087,998,045.77
  5. Step 5: Solve for x
    x = 558,087,998,045.77/340,465.78
  6. Step 6: Final answer
    x = 1,639,189.69

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.