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Finding the Third Proportional to 241,870.13 and 564,808.13

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Solution

The third proportional to 241,870.13 and 564,808.13 is: 1,318,923.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,870.13 : 564,808.13 = 564,808.13 : x
  2. Step 2: Convert to fraction form
    241,870.13/564,808.13 = 564,808.13/x
  3. Step 3: Cross multiply
    241,870.13x = 564,808.13 × 564,808.13
  4. Step 4: Simplify right side
    241,870.13x = 319,008,218,066.02
  5. Step 5: Solve for x
    x = 319,008,218,066.02/241,870.13
  6. Step 6: Final answer
    x = 1,318,923.61

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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.