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Finding the Third Proportional to 627,022 and 896,289

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Solution

The third proportional to 627,022 and 896,289 is: 1,281,189.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,022 : 896,289 = 896,289 : x
  2. Step 2: Convert to fraction form
    627,022/896,289 = 896,289/x
  3. Step 3: Cross multiply
    627,022x = 896,289 × 896,289
  4. Step 4: Simplify right side
    627,022x = 803,333,971,521
  5. Step 5: Solve for x
    x = 803,333,971,521/627,022
  6. Step 6: Final answer
    x = 1,281,189.45

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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.