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Finding the Third Proportional to 566,742 and 884,565

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Solution

The third proportional to 566,742 and 884,565 is: 1,380,619.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,742 : 884,565 = 884,565 : x
  2. Step 2: Convert to fraction form
    566,742/884,565 = 884,565/x
  3. Step 3: Cross multiply
    566,742x = 884,565 × 884,565
  4. Step 4: Simplify right side
    566,742x = 782,455,239,225
  5. Step 5: Solve for x
    x = 782,455,239,225/566,742
  6. Step 6: Final answer
    x = 1,380,619.82

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.