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Finding the Third Proportional to 375,173.25 and 561,729

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Solution

The third proportional to 375,173.25 and 561,729 is: 841,050.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,173.25 : 561,729 = 561,729 : x
  2. Step 2: Convert to fraction form
    375,173.25/561,729 = 561,729/x
  3. Step 3: Cross multiply
    375,173.25x = 561,729 × 561,729
  4. Step 4: Simplify right side
    375,173.25x = 315,539,469,441
  5. Step 5: Solve for x
    x = 315,539,469,441/375,173.25
  6. Step 6: Final answer
    x = 841,050.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.