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Finding the Third Proportional to 627,020 and 896,286

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Solution

The third proportional to 627,020 and 896,286 is: 1,281,184.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,020 : 896,286 = 896,286 : x
  2. Step 2: Convert to fraction form
    627,020/896,286 = 896,286/x
  3. Step 3: Cross multiply
    627,020x = 896,286 × 896,286
  4. Step 4: Simplify right side
    627,020x = 803,328,593,796
  5. Step 5: Solve for x
    x = 803,328,593,796/627,020
  6. Step 6: Final answer
    x = 1,281,184.96

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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.