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Finding the Third Proportional to 506,764.50 and 1,101,735

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Solution

The third proportional to 506,764.50 and 1,101,735 is: 2,395,234.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,764.50 : 1,101,735 = 1,101,735 : x
  2. Step 2: Convert to fraction form
    506,764.50/1,101,735 = 1,101,735/x
  3. Step 3: Cross multiply
    506,764.50x = 1,101,735 × 1,101,735
  4. Step 4: Simplify right side
    506,764.50x = 1,213,820,010,225
  5. Step 5: Solve for x
    x = 1,213,820,010,225/506,764.50
  6. Step 6: Final answer
    x = 2,395,234.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.