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Finding the Third Proportional to 228,465 and 502,479

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Solution

The third proportional to 228,465 and 502,479 is: 1,105,137.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,465 : 502,479 = 502,479 : x
  2. Step 2: Convert to fraction form
    228,465/502,479 = 502,479/x
  3. Step 3: Cross multiply
    228,465x = 502,479 × 502,479
  4. Step 4: Simplify right side
    228,465x = 252,485,145,441
  5. Step 5: Solve for x
    x = 252,485,145,441/228,465
  6. Step 6: Final answer
    x = 1,105,137.09

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.