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Finding the Third Proportional to 553,570 and 827,458

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Solution

The third proportional to 553,570 and 827,458 is: 1,236,856.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,570 : 827,458 = 827,458 : x
  2. Step 2: Convert to fraction form
    553,570/827,458 = 827,458/x
  3. Step 3: Cross multiply
    553,570x = 827,458 × 827,458
  4. Step 4: Simplify right side
    553,570x = 684,686,741,764
  5. Step 5: Solve for x
    x = 684,686,741,764/553,570
  6. Step 6: Final answer
    x = 1,236,856.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.