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Finding the Third Proportional to 272,834 and 558,789

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Solution

The third proportional to 272,834 and 558,789 is: 1,144,451.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,834 : 558,789 = 558,789 : x
  2. Step 2: Convert to fraction form
    272,834/558,789 = 558,789/x
  3. Step 3: Cross multiply
    272,834x = 558,789 × 558,789
  4. Step 4: Simplify right side
    272,834x = 312,245,146,521
  5. Step 5: Solve for x
    x = 312,245,146,521/272,834
  6. Step 6: Final answer
    x = 1,144,451.01

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.