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Finding the Third Proportional to 244,956 and 534,840

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Solution

The third proportional to 244,956 and 534,840 is: 1,167,776.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,956 : 534,840 = 534,840 : x
  2. Step 2: Convert to fraction form
    244,956/534,840 = 534,840/x
  3. Step 3: Cross multiply
    244,956x = 534,840 × 534,840
  4. Step 4: Simplify right side
    244,956x = 286,053,825,600
  5. Step 5: Solve for x
    x = 286,053,825,600/244,956
  6. Step 6: Final answer
    x = 1,167,776.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.