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Finding the Third Proportional to 247,052 and 538,712

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Solution

The third proportional to 247,052 and 538,712 is: 1,174,694.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,052 : 538,712 = 538,712 : x
  2. Step 2: Convert to fraction form
    247,052/538,712 = 538,712/x
  3. Step 3: Cross multiply
    247,052x = 538,712 × 538,712
  4. Step 4: Simplify right side
    247,052x = 290,210,618,944
  5. Step 5: Solve for x
    x = 290,210,618,944/247,052
  6. Step 6: Final answer
    x = 1,174,694.47

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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.