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Finding the Third Proportional to 562.69 and 901.97

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Solution

The third proportional to 562.69 and 901.97 is: 1,445.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.69 : 901.97 = 901.97 : x
  2. Step 2: Convert to fraction form
    562.69/901.97 = 901.97/x
  3. Step 3: Cross multiply
    562.69x = 901.97 × 901.97
  4. Step 4: Simplify right side
    562.69x = 813,547.63
  5. Step 5: Solve for x
    x = 813,547.63/562.69
  6. Step 6: Final answer
    x = 1,445.82

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.