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Finding the Third Proportional to 362,364 and 532,890

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Solution

The third proportional to 362,364 and 532,890 is: 783,664.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,364 : 532,890 = 532,890 : x
  2. Step 2: Convert to fraction form
    362,364/532,890 = 532,890/x
  3. Step 3: Cross multiply
    362,364x = 532,890 × 532,890
  4. Step 4: Simplify right side
    362,364x = 283,971,752,100
  5. Step 5: Solve for x
    x = 283,971,752,100/362,364
  6. Step 6: Final answer
    x = 783,664.36

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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.