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Finding the Third Proportional to 304,176.50 and 473,456.50

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Solution

The third proportional to 304,176.50 and 473,456.50 is: 736,944.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,176.50 : 473,456.50 = 473,456.50 : x
  2. Step 2: Convert to fraction form
    304,176.50/473,456.50 = 473,456.50/x
  3. Step 3: Cross multiply
    304,176.50x = 473,456.50 × 473,456.50
  4. Step 4: Simplify right side
    304,176.50x = 224,161,057,392.25
  5. Step 5: Solve for x
    x = 224,161,057,392.25/304,176.50
  6. Step 6: Final answer
    x = 736,944.04

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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.