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Finding the Third Proportional to 241,875 and 564,813

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Solution

The third proportional to 241,875 and 564,813 is: 1,318,919.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,875 : 564,813 = 564,813 : x
  2. Step 2: Convert to fraction form
    241,875/564,813 = 564,813/x
  3. Step 3: Cross multiply
    241,875x = 564,813 × 564,813
  4. Step 4: Simplify right side
    241,875x = 319,013,724,969
  5. Step 5: Solve for x
    x = 319,013,724,969/241,875
  6. Step 6: Final answer
    x = 1,318,919.79

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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.