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Finding the Third Proportional to 579,204 and 896,832

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Solution

The third proportional to 579,204 and 896,832 is: 1,388,643.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,204 : 896,832 = 896,832 : x
  2. Step 2: Convert to fraction form
    579,204/896,832 = 896,832/x
  3. Step 3: Cross multiply
    579,204x = 896,832 × 896,832
  4. Step 4: Simplify right side
    579,204x = 804,307,636,224
  5. Step 5: Solve for x
    x = 804,307,636,224/579,204
  6. Step 6: Final answer
    x = 1,388,643.10

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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.