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Finding the Third Proportional to 241,859.25 and 564,780.94

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Solution

The third proportional to 241,859.25 and 564,780.94 is: 1,318,855.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,859.25 : 564,780.94 = 564,780.94 : x
  2. Step 2: Convert to fraction form
    241,859.25/564,780.94 = 564,780.94/x
  3. Step 3: Cross multiply
    241,859.25x = 564,780.94 × 564,780.94
  4. Step 4: Simplify right side
    241,859.25x = 318,977,507,363.38
  5. Step 5: Solve for x
    x = 318,977,507,363.38/241,859.25
  6. Step 6: Final answer
    x = 1,318,855.94

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.