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Finding the Third Proportional to 348,851 and 473,441

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Solution

The third proportional to 348,851 and 473,441 is: 642,527.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,851 : 473,441 = 473,441 : x
  2. Step 2: Convert to fraction form
    348,851/473,441 = 473,441/x
  3. Step 3: Cross multiply
    348,851x = 473,441 × 473,441
  4. Step 4: Simplify right side
    348,851x = 224,146,380,481
  5. Step 5: Solve for x
    x = 224,146,380,481/348,851
  6. Step 6: Final answer
    x = 642,527.56

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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.