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Finding the Third Proportional to 303,248 and 474,776

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Solution

The third proportional to 303,248 and 474,776 is: 743,326.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,248 : 474,776 = 474,776 : x
  2. Step 2: Convert to fraction form
    303,248/474,776 = 474,776/x
  3. Step 3: Cross multiply
    303,248x = 474,776 × 474,776
  4. Step 4: Simplify right side
    303,248x = 225,412,250,176
  5. Step 5: Solve for x
    x = 225,412,250,176/303,248
  6. Step 6: Final answer
    x = 743,326.42

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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.