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Finding the Third Proportional to 566,190 and 868,941

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Solution

The third proportional to 566,190 and 868,941 is: 1,333,577.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,190 : 868,941 = 868,941 : x
  2. Step 2: Convert to fraction form
    566,190/868,941 = 868,941/x
  3. Step 3: Cross multiply
    566,190x = 868,941 × 868,941
  4. Step 4: Simplify right side
    566,190x = 755,058,461,481
  5. Step 5: Solve for x
    x = 755,058,461,481/566,190
  6. Step 6: Final answer
    x = 1,333,577.88

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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.