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Finding the Third Proportional to 538,276.50 and 1,153,800

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Solution

The third proportional to 538,276.50 and 1,153,800 is: 2,473,179.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,276.50 : 1,153,800 = 1,153,800 : x
  2. Step 2: Convert to fraction form
    538,276.50/1,153,800 = 1,153,800/x
  3. Step 3: Cross multiply
    538,276.50x = 1,153,800 × 1,153,800
  4. Step 4: Simplify right side
    538,276.50x = 1,331,254,440,000
  5. Step 5: Solve for x
    x = 1,331,254,440,000/538,276.50
  6. Step 6: Final answer
    x = 2,473,179.56

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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.