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Finding the Third Proportional to 302,751.50 and 468,778.50

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Solution

The third proportional to 302,751.50 and 468,778.50 is: 725,853.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,751.50 : 468,778.50 = 468,778.50 : x
  2. Step 2: Convert to fraction form
    302,751.50/468,778.50 = 468,778.50/x
  3. Step 3: Cross multiply
    302,751.50x = 468,778.50 × 468,778.50
  4. Step 4: Simplify right side
    302,751.50x = 219,753,282,062.25
  5. Step 5: Solve for x
    x = 219,753,282,062.25/302,751.50
  6. Step 6: Final answer
    x = 725,853.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.