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Finding the Third Proportional to 579,555 and 852,572.25

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Solution

The third proportional to 579,555 and 852,572.25 is: 1,254,202.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,555 : 852,572.25 = 852,572.25 : x
  2. Step 2: Convert to fraction form
    579,555/852,572.25 = 852,572.25/x
  3. Step 3: Cross multiply
    579,555x = 852,572.25 × 852,572.25
  4. Step 4: Simplify right side
    579,555x = 726,879,441,470.06
  5. Step 5: Solve for x
    x = 726,879,441,470.06/579,555
  6. Step 6: Final answer
    x = 1,254,202.69

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.