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Finding the Third Proportional to 362,160 and 532,314

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Solution

The third proportional to 362,160 and 532,314 is: 782,411.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,160 : 532,314 = 532,314 : x
  2. Step 2: Convert to fraction form
    362,160/532,314 = 532,314/x
  3. Step 3: Cross multiply
    362,160x = 532,314 × 532,314
  4. Step 4: Simplify right side
    362,160x = 283,358,194,596
  5. Step 5: Solve for x
    x = 283,358,194,596/362,160
  6. Step 6: Final answer
    x = 782,411.63

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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.