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Finding the Third Proportional to 304,293.38 and 473,661

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Solution

The third proportional to 304,293.38 and 473,661 is: 737,297.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,293.38 : 473,661 = 473,661 : x
  2. Step 2: Convert to fraction form
    304,293.38/473,661 = 473,661/x
  3. Step 3: Cross multiply
    304,293.38x = 473,661 × 473,661
  4. Step 4: Simplify right side
    304,293.38x = 224,354,742,921
  5. Step 5: Solve for x
    x = 224,354,742,921/304,293.38
  6. Step 6: Final answer
    x = 737,297.49

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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.