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Finding the Third Proportional to 348,852 and 473,442

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Solution

The third proportional to 348,852 and 473,442 is: 642,528.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,852 : 473,442 = 473,442 : x
  2. Step 2: Convert to fraction form
    348,852/473,442 = 473,442/x
  3. Step 3: Cross multiply
    348,852x = 473,442 × 473,442
  4. Step 4: Simplify right side
    348,852x = 224,147,327,364
  5. Step 5: Solve for x
    x = 224,147,327,364/348,852
  6. Step 6: Final answer
    x = 642,528.43

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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.