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Finding the Third Proportional to 268,610 and 564,868

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Solution

The third proportional to 268,610 and 564,868 is: 1,187,877.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,610 : 564,868 = 564,868 : x
  2. Step 2: Convert to fraction form
    268,610/564,868 = 564,868/x
  3. Step 3: Cross multiply
    268,610x = 564,868 × 564,868
  4. Step 4: Simplify right side
    268,610x = 319,075,857,424
  5. Step 5: Solve for x
    x = 319,075,857,424/268,610
  6. Step 6: Final answer
    x = 1,187,877.81

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.