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Finding the Third Proportional to 241,865 and 564,796

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Solution

The third proportional to 241,865 and 564,796 is: 1,318,894.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,865 : 564,796 = 564,796 : x
  2. Step 2: Convert to fraction form
    241,865/564,796 = 564,796/x
  3. Step 3: Cross multiply
    241,865x = 564,796 × 564,796
  4. Step 4: Simplify right side
    241,865x = 318,994,521,616
  5. Step 5: Solve for x
    x = 318,994,521,616/241,865
  6. Step 6: Final answer
    x = 1,318,894.93

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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.