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Finding the Third Proportional to 285,174 and 451,521

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Solution

The third proportional to 285,174 and 451,521 is: 714,901.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,174 : 451,521 = 451,521 : x
  2. Step 2: Convert to fraction form
    285,174/451,521 = 451,521/x
  3. Step 3: Cross multiply
    285,174x = 451,521 × 451,521
  4. Step 4: Simplify right side
    285,174x = 203,871,213,441
  5. Step 5: Solve for x
    x = 203,871,213,441/285,174
  6. Step 6: Final answer
    x = 714,901.13

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.