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Finding the Third Proportional to 348,843.38 and 473,430.38

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Solution

The third proportional to 348,843.38 and 473,430.38 is: 642,512.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,843.38 : 473,430.38 = 473,430.38 : x
  2. Step 2: Convert to fraction form
    348,843.38/473,430.38 = 473,430.38/x
  3. Step 3: Cross multiply
    348,843.38x = 473,430.38 × 473,430.38
  4. Step 4: Simplify right side
    348,843.38x = 224,136,319,972.64
  5. Step 5: Solve for x
    x = 224,136,319,972.64/348,843.38
  6. Step 6: Final answer
    x = 642,512.76

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.