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Finding the Third Proportional to 387,745.50 and 568,101

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Solution

The third proportional to 387,745.50 and 568,101 is: 832,346.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,745.50 : 568,101 = 568,101 : x
  2. Step 2: Convert to fraction form
    387,745.50/568,101 = 568,101/x
  3. Step 3: Cross multiply
    387,745.50x = 568,101 × 568,101
  4. Step 4: Simplify right side
    387,745.50x = 322,738,746,201
  5. Step 5: Solve for x
    x = 322,738,746,201/387,745.50
  6. Step 6: Final answer
    x = 832,346.85

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.