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Finding the Third Proportional to 571,786.28 and 838,581.93

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Solution

The third proportional to 571,786.28 and 838,581.93 is: 1,229,864.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,786.28 : 838,581.93 = 838,581.93 : x
  2. Step 2: Convert to fraction form
    571,786.28/838,581.93 = 838,581.93/x
  3. Step 3: Cross multiply
    571,786.28x = 838,581.93 × 838,581.93
  4. Step 4: Simplify right side
    571,786.28x = 703,219,646,246.99
  5. Step 5: Solve for x
    x = 703,219,646,246.99/571,786.28
  6. Step 6: Final answer
    x = 1,229,864.50

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.