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Finding the Third Proportional to 282,390.75 and 430,207.88

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Solution

The third proportional to 282,390.75 and 430,207.88 is: 655,399.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,390.75 : 430,207.88 = 430,207.88 : x
  2. Step 2: Convert to fraction form
    282,390.75/430,207.88 = 430,207.88/x
  3. Step 3: Cross multiply
    282,390.75x = 430,207.88 × 430,207.88
  4. Step 4: Simplify right side
    282,390.75x = 185,078,815,712.02
  5. Step 5: Solve for x
    x = 185,078,815,712.02/282,390.75
  6. Step 6: Final answer
    x = 655,399.71

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.