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Finding the Third Proportional to 228,952 and 503,580

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Solution

The third proportional to 228,952 and 503,580 is: 1,107,624.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,952 : 503,580 = 503,580 : x
  2. Step 2: Convert to fraction form
    228,952/503,580 = 503,580/x
  3. Step 3: Cross multiply
    228,952x = 503,580 × 503,580
  4. Step 4: Simplify right side
    228,952x = 253,592,816,400
  5. Step 5: Solve for x
    x = 253,592,816,400/228,952
  6. Step 6: Final answer
    x = 1,107,624.38

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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.