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Finding the Third Proportional to 304,302.75 and 473,676.75

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Solution

The third proportional to 304,302.75 and 473,676.75 is: 737,323.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,302.75 : 473,676.75 = 473,676.75 : x
  2. Step 2: Convert to fraction form
    304,302.75/473,676.75 = 473,676.75/x
  3. Step 3: Cross multiply
    304,302.75x = 473,676.75 × 473,676.75
  4. Step 4: Simplify right side
    304,302.75x = 224,369,663,490.56
  5. Step 5: Solve for x
    x = 224,369,663,490.56/304,302.75
  6. Step 6: Final answer
    x = 737,323.81

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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.