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Finding the Third Proportional to 524,991 and 814,458

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Solution

The third proportional to 524,991 and 814,458 is: 1,263,529.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,991 : 814,458 = 814,458 : x
  2. Step 2: Convert to fraction form
    524,991/814,458 = 814,458/x
  3. Step 3: Cross multiply
    524,991x = 814,458 × 814,458
  4. Step 4: Simplify right side
    524,991x = 663,341,833,764
  5. Step 5: Solve for x
    x = 663,341,833,764/524,991
  6. Step 6: Final answer
    x = 1,263,529.92

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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.