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Finding the Third Proportional to 287,156 and 631,360

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Solution

The third proportional to 287,156 and 631,360 is: 1,388,149.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,156 : 631,360 = 631,360 : x
  2. Step 2: Convert to fraction form
    287,156/631,360 = 631,360/x
  3. Step 3: Cross multiply
    287,156x = 631,360 × 631,360
  4. Step 4: Simplify right side
    287,156x = 398,615,449,600
  5. Step 5: Solve for x
    x = 398,615,449,600/287,156
  6. Step 6: Final answer
    x = 1,388,149.47

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.