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Finding the Third Proportional to 363,849 and 572,503.50

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Solution

The third proportional to 363,849 and 572,503.50 is: 900,813.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,849 : 572,503.50 = 572,503.50 : x
  2. Step 2: Convert to fraction form
    363,849/572,503.50 = 572,503.50/x
  3. Step 3: Cross multiply
    363,849x = 572,503.50 × 572,503.50
  4. Step 4: Simplify right side
    363,849x = 327,760,257,512.25
  5. Step 5: Solve for x
    x = 327,760,257,512.25/363,849
  6. Step 6: Final answer
    x = 900,813.96

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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.