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Finding the Third Proportional to 247,276.13 and 538,835.63

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Solution

The third proportional to 247,276.13 and 538,835.63 is: 1,174,168.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,276.13 : 538,835.63 = 538,835.63 : x
  2. Step 2: Convert to fraction form
    247,276.13/538,835.63 = 538,835.63/x
  3. Step 3: Cross multiply
    247,276.13x = 538,835.63 × 538,835.63
  4. Step 4: Simplify right side
    247,276.13x = 290,343,830,769.14
  5. Step 5: Solve for x
    x = 290,343,830,769.14/247,276.13
  6. Step 6: Final answer
    x = 1,174,168.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.