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Finding the Third Proportional to 292,494 and 632,961

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Solution

The third proportional to 292,494 and 632,961 is: 1,369,736.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,494 : 632,961 = 632,961 : x
  2. Step 2: Convert to fraction form
    292,494/632,961 = 632,961/x
  3. Step 3: Cross multiply
    292,494x = 632,961 × 632,961
  4. Step 4: Simplify right side
    292,494x = 400,639,627,521
  5. Step 5: Solve for x
    x = 400,639,627,521/292,494
  6. Step 6: Final answer
    x = 1,369,736.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.