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Finding the Third Proportional to 241,861 and 564,786

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Solution

The third proportional to 241,861 and 564,786 is: 1,318,870.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,861 : 564,786 = 564,786 : x
  2. Step 2: Convert to fraction form
    241,861/564,786 = 564,786/x
  3. Step 3: Cross multiply
    241,861x = 564,786 × 564,786
  4. Step 4: Simplify right side
    241,861x = 318,983,225,796
  5. Step 5: Solve for x
    x = 318,983,225,796/241,861
  6. Step 6: Final answer
    x = 1,318,870.04

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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.