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Finding the Third Proportional to 363,846 and 572,502

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Solution

The third proportional to 363,846 and 572,502 is: 900,816.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,846 : 572,502 = 572,502 : x
  2. Step 2: Convert to fraction form
    363,846/572,502 = 572,502/x
  3. Step 3: Cross multiply
    363,846x = 572,502 × 572,502
  4. Step 4: Simplify right side
    363,846x = 327,758,540,004
  5. Step 5: Solve for x
    x = 327,758,540,004/363,846
  6. Step 6: Final answer
    x = 900,816.66

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.