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Finding the Third Proportional to 550,474.50 and 842,125.50

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Solution

The third proportional to 550,474.50 and 842,125.50 is: 1,288,298.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,474.50 : 842,125.50 = 842,125.50 : x
  2. Step 2: Convert to fraction form
    550,474.50/842,125.50 = 842,125.50/x
  3. Step 3: Cross multiply
    550,474.50x = 842,125.50 × 842,125.50
  4. Step 4: Simplify right side
    550,474.50x = 709,175,357,750.25
  5. Step 5: Solve for x
    x = 709,175,357,750.25/550,474.50
  6. Step 6: Final answer
    x = 1,288,298.29

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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.