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Finding the Third Proportional to 304,177 and 473,458

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Solution

The third proportional to 304,177 and 473,458 is: 736,947.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,177 : 473,458 = 473,458 : x
  2. Step 2: Convert to fraction form
    304,177/473,458 = 473,458/x
  3. Step 3: Cross multiply
    304,177x = 473,458 × 473,458
  4. Step 4: Simplify right side
    304,177x = 224,162,477,764
  5. Step 5: Solve for x
    x = 224,162,477,764/304,177
  6. Step 6: Final answer
    x = 736,947.49

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.