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Finding the Third Proportional to 302,713.50 and 474,922.50

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Solution

The third proportional to 302,713.50 and 474,922.50 is: 745,098.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,713.50 : 474,922.50 = 474,922.50 : x
  2. Step 2: Convert to fraction form
    302,713.50/474,922.50 = 474,922.50/x
  3. Step 3: Cross multiply
    302,713.50x = 474,922.50 × 474,922.50
  4. Step 4: Simplify right side
    302,713.50x = 225,551,381,006.25
  5. Step 5: Solve for x
    x = 225,551,381,006.25/302,713.50
  6. Step 6: Final answer
    x = 745,098.52

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.