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Finding the Third Proportional to 220,498 and 478,336

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Solution

The third proportional to 220,498 and 478,336 is: 1,037,675.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,498 : 478,336 = 478,336 : x
  2. Step 2: Convert to fraction form
    220,498/478,336 = 478,336/x
  3. Step 3: Cross multiply
    220,498x = 478,336 × 478,336
  4. Step 4: Simplify right side
    220,498x = 228,805,328,896
  5. Step 5: Solve for x
    x = 228,805,328,896/220,498
  6. Step 6: Final answer
    x = 1,037,675.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.