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Finding the Third Proportional to 228,653 and 502,558

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Solution

The third proportional to 228,653 and 502,558 is: 1,104,575.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,653 : 502,558 = 502,558 : x
  2. Step 2: Convert to fraction form
    228,653/502,558 = 502,558/x
  3. Step 3: Cross multiply
    228,653x = 502,558 × 502,558
  4. Step 4: Simplify right side
    228,653x = 252,564,543,364
  5. Step 5: Solve for x
    x = 252,564,543,364/228,653
  6. Step 6: Final answer
    x = 1,104,575.68

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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.