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Finding the Third Proportional to 627,016 and 896,280

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Solution

The third proportional to 627,016 and 896,280 is: 1,281,175.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,016 : 896,280 = 896,280 : x
  2. Step 2: Convert to fraction form
    627,016/896,280 = 896,280/x
  3. Step 3: Cross multiply
    627,016x = 896,280 × 896,280
  4. Step 4: Simplify right side
    627,016x = 803,317,838,400
  5. Step 5: Solve for x
    x = 803,317,838,400/627,016
  6. Step 6: Final answer
    x = 1,281,175.98

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.