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Finding the Third Proportional to 362,432 and 532,968

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Solution

The third proportional to 362,432 and 532,968 is: 783,746.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,432 : 532,968 = 532,968 : x
  2. Step 2: Convert to fraction form
    362,432/532,968 = 532,968/x
  3. Step 3: Cross multiply
    362,432x = 532,968 × 532,968
  4. Step 4: Simplify right side
    362,432x = 284,054,889,024
  5. Step 5: Solve for x
    x = 284,054,889,024/362,432
  6. Step 6: Final answer
    x = 783,746.71

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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.