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Finding the Third Proportional to 723,968 and 952,032

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Solution

The third proportional to 723,968 and 952,032 is: 1,251,940.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,968 : 952,032 = 952,032 : x
  2. Step 2: Convert to fraction form
    723,968/952,032 = 952,032/x
  3. Step 3: Cross multiply
    723,968x = 952,032 × 952,032
  4. Step 4: Simplify right side
    723,968x = 906,364,929,024
  5. Step 5: Solve for x
    x = 906,364,929,024/723,968
  6. Step 6: Final answer
    x = 1,251,940.60

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.