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Finding the Third Proportional to 550,528.13 and 842,245.13

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Solution

The third proportional to 550,528.13 and 842,245.13 is: 1,288,538.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,528.13 : 842,245.13 = 842,245.13 : x
  2. Step 2: Convert to fraction form
    550,528.13/842,245.13 = 842,245.13/x
  3. Step 3: Cross multiply
    550,528.13x = 842,245.13 × 842,245.13
  4. Step 4: Simplify right side
    550,528.13x = 709,376,850,586.27
  5. Step 5: Solve for x
    x = 709,376,850,586.27/550,528.13
  6. Step 6: Final answer
    x = 1,288,538.80

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.