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Finding the Third Proportional to 223,436 and 527,002

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Solution

The third proportional to 223,436 and 527,002 is: 1,243,000.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,436 : 527,002 = 527,002 : x
  2. Step 2: Convert to fraction form
    223,436/527,002 = 527,002/x
  3. Step 3: Cross multiply
    223,436x = 527,002 × 527,002
  4. Step 4: Simplify right side
    223,436x = 277,731,108,004
  5. Step 5: Solve for x
    x = 277,731,108,004/223,436
  6. Step 6: Final answer
    x = 1,243,000.72

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.