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Finding the Third Proportional to 579,846 and 816,552

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Solution

The third proportional to 579,846 and 816,552 is: 1,149,886.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,846 : 816,552 = 816,552 : x
  2. Step 2: Convert to fraction form
    579,846/816,552 = 816,552/x
  3. Step 3: Cross multiply
    579,846x = 816,552 × 816,552
  4. Step 4: Simplify right side
    579,846x = 666,757,168,704
  5. Step 5: Solve for x
    x = 666,757,168,704/579,846
  6. Step 6: Final answer
    x = 1,149,886.64

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.