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Finding the Third Proportional to 508,285.76 and 1,068,991.17

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Solution

The third proportional to 508,285.76 and 1,068,991.17 is: 2,248,227.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,285.76 : 1,068,991.17 = 1,068,991.17 : x
  2. Step 2: Convert to fraction form
    508,285.76/1,068,991.17 = 1,068,991.17/x
  3. Step 3: Cross multiply
    508,285.76x = 1,068,991.17 × 1,068,991.17
  4. Step 4: Simplify right side
    508,285.76x = 1,142,742,125,546.69
  5. Step 5: Solve for x
    x = 1,142,742,125,546.69/508,285.76
  6. Step 6: Final answer
    x = 2,248,227.71

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.