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Finding the Third Proportional to 569,674 and 885,615

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Solution

The third proportional to 569,674 and 885,615 is: 1,376,776.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,674 : 885,615 = 885,615 : x
  2. Step 2: Convert to fraction form
    569,674/885,615 = 885,615/x
  3. Step 3: Cross multiply
    569,674x = 885,615 × 885,615
  4. Step 4: Simplify right side
    569,674x = 784,313,928,225
  5. Step 5: Solve for x
    x = 784,313,928,225/569,674
  6. Step 6: Final answer
    x = 1,376,776.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.