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Finding the Third Proportional to 538,150.50 and 1,153,575

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Solution

The third proportional to 538,150.50 and 1,153,575 is: 2,472,793.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,150.50 : 1,153,575 = 1,153,575 : x
  2. Step 2: Convert to fraction form
    538,150.50/1,153,575 = 1,153,575/x
  3. Step 3: Cross multiply
    538,150.50x = 1,153,575 × 1,153,575
  4. Step 4: Simplify right side
    538,150.50x = 1,330,735,280,625
  5. Step 5: Solve for x
    x = 1,330,735,280,625/538,150.50
  6. Step 6: Final answer
    x = 2,472,793.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.