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Finding the Third Proportional to 457,214.25 and 679,197

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Solution

The third proportional to 457,214.25 and 679,197 is: 1,008,954.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,214.25 : 679,197 = 679,197 : x
  2. Step 2: Convert to fraction form
    457,214.25/679,197 = 679,197/x
  3. Step 3: Cross multiply
    457,214.25x = 679,197 × 679,197
  4. Step 4: Simplify right side
    457,214.25x = 461,308,564,809
  5. Step 5: Solve for x
    x = 461,308,564,809/457,214.25
  6. Step 6: Final answer
    x = 1,008,954.92

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.