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Finding the Third Proportional to 627,000 and 896,256

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Solution

The third proportional to 627,000 and 896,256 is: 1,281,140.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,000 : 896,256 = 896,256 : x
  2. Step 2: Convert to fraction form
    627,000/896,256 = 896,256/x
  3. Step 3: Cross multiply
    627,000x = 896,256 × 896,256
  4. Step 4: Simplify right side
    627,000x = 803,274,817,536
  5. Step 5: Solve for x
    x = 803,274,817,536/627,000
  6. Step 6: Final answer
    x = 1,281,140.06

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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.