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Finding the Third Proportional to 508,320.56 and 1,100,331.84

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Solution

The third proportional to 508,320.56 and 1,100,331.84 is: 2,381,824.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,320.56 : 1,100,331.84 = 1,100,331.84 : x
  2. Step 2: Convert to fraction form
    508,320.56/1,100,331.84 = 1,100,331.84/x
  3. Step 3: Cross multiply
    508,320.56x = 1,100,331.84 × 1,100,331.84
  4. Step 4: Simplify right side
    508,320.56x = 1,210,730,166,370.27
  5. Step 5: Solve for x
    x = 1,210,730,166,370.27/508,320.56
  6. Step 6: Final answer
    x = 2,381,824.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.