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Finding the Third Proportional to 362,326 and 532,410

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Solution

The third proportional to 362,326 and 532,410 is: 782,335.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,326 : 532,410 = 532,410 : x
  2. Step 2: Convert to fraction form
    362,326/532,410 = 532,410/x
  3. Step 3: Cross multiply
    362,326x = 532,410 × 532,410
  4. Step 4: Simplify right side
    362,326x = 283,460,408,100
  5. Step 5: Solve for x
    x = 283,460,408,100/362,326
  6. Step 6: Final answer
    x = 782,335.27

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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.