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Finding the Third Proportional to 324,516 and 484,074

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Solution

The third proportional to 324,516 and 484,074 is: 722,083.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,516 : 484,074 = 484,074 : x
  2. Step 2: Convert to fraction form
    324,516/484,074 = 484,074/x
  3. Step 3: Cross multiply
    324,516x = 484,074 × 484,074
  4. Step 4: Simplify right side
    324,516x = 234,327,637,476
  5. Step 5: Solve for x
    x = 234,327,637,476/324,516
  6. Step 6: Final answer
    x = 722,083.46

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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.