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Finding the Third Proportional to 287,145 and 422,425.13

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Solution

The third proportional to 287,145 and 422,425.13 is: 621,438.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,145 : 422,425.13 = 422,425.13 : x
  2. Step 2: Convert to fraction form
    287,145/422,425.13 = 422,425.13/x
  3. Step 3: Cross multiply
    287,145x = 422,425.13 × 422,425.13
  4. Step 4: Simplify right side
    287,145x = 178,442,986,231.27
  5. Step 5: Solve for x
    x = 178,442,986,231.27/287,145
  6. Step 6: Final answer
    x = 621,438.60

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.