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Finding the Third Proportional to 566,184 and 868,932

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Solution

The third proportional to 566,184 and 868,932 is: 1,333,564.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,184 : 868,932 = 868,932 : x
  2. Step 2: Convert to fraction form
    566,184/868,932 = 868,932/x
  3. Step 3: Cross multiply
    566,184x = 868,932 × 868,932
  4. Step 4: Simplify right side
    566,184x = 755,042,820,624
  5. Step 5: Solve for x
    x = 755,042,820,624/566,184
  6. Step 6: Final answer
    x = 1,333,564.39

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.