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Finding the Third Proportional to 223,536 and 521,688

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Solution

The third proportional to 223,536 and 521,688 is: 1,217,514.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,536 : 521,688 = 521,688 : x
  2. Step 2: Convert to fraction form
    223,536/521,688 = 521,688/x
  3. Step 3: Cross multiply
    223,536x = 521,688 × 521,688
  4. Step 4: Simplify right side
    223,536x = 272,158,369,344
  5. Step 5: Solve for x
    x = 272,158,369,344/223,536
  6. Step 6: Final answer
    x = 1,217,514.72

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.