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Finding the Third Proportional to 348,853 and 473,443

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Solution

The third proportional to 348,853 and 473,443 is: 642,529.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,853 : 473,443 = 473,443 : x
  2. Step 2: Convert to fraction form
    348,853/473,443 = 473,443/x
  3. Step 3: Cross multiply
    348,853x = 473,443 × 473,443
  4. Step 4: Simplify right side
    348,853x = 224,148,274,249
  5. Step 5: Solve for x
    x = 224,148,274,249/348,853
  6. Step 6: Final answer
    x = 642,529.30

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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.