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Finding the Third Proportional to 269,508.70 and 546,937.03

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Solution

The third proportional to 269,508.70 and 546,937.03 is: 1,109,946.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,508.70 : 546,937.03 = 546,937.03 : x
  2. Step 2: Convert to fraction form
    269,508.70/546,937.03 = 546,937.03/x
  3. Step 3: Cross multiply
    269,508.70x = 546,937.03 × 546,937.03
  4. Step 4: Simplify right side
    269,508.70x = 299,140,116,152.56
  5. Step 5: Solve for x
    x = 299,140,116,152.56/269,508.70
  6. Step 6: Final answer
    x = 1,109,946.03

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.