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Finding the Third Proportional to 246,960 and 539,118

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Solution

The third proportional to 246,960 and 539,118 is: 1,176,904.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,960 : 539,118 = 539,118 : x
  2. Step 2: Convert to fraction form
    246,960/539,118 = 539,118/x
  3. Step 3: Cross multiply
    246,960x = 539,118 × 539,118
  4. Step 4: Simplify right side
    246,960x = 290,648,217,924
  5. Step 5: Solve for x
    x = 290,648,217,924/246,960
  6. Step 6: Final answer
    x = 1,176,904.02

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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.