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Finding the Third Proportional to 363,853.50 and 572,511

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Solution

The third proportional to 363,853.50 and 572,511 is: 900,826.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,853.50 : 572,511 = 572,511 : x
  2. Step 2: Convert to fraction form
    363,853.50/572,511 = 572,511/x
  3. Step 3: Cross multiply
    363,853.50x = 572,511 × 572,511
  4. Step 4: Simplify right side
    363,853.50x = 327,768,845,121
  5. Step 5: Solve for x
    x = 327,768,845,121/363,853.50
  6. Step 6: Final answer
    x = 900,826.42

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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.