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Finding the Third Proportional to 348,845 and 473,433

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Solution

The third proportional to 348,845 and 473,433 is: 642,516.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,845 : 473,433 = 473,433 : x
  2. Step 2: Convert to fraction form
    348,845/473,433 = 473,433/x
  3. Step 3: Cross multiply
    348,845x = 473,433 × 473,433
  4. Step 4: Simplify right side
    348,845x = 224,138,805,489
  5. Step 5: Solve for x
    x = 224,138,805,489/348,845
  6. Step 6: Final answer
    x = 642,516.89

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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.