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Finding the Third Proportional to 296,151 and 651,324

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Solution

The third proportional to 296,151 and 651,324 is: 1,432,454.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,151 : 651,324 = 651,324 : x
  2. Step 2: Convert to fraction form
    296,151/651,324 = 651,324/x
  3. Step 3: Cross multiply
    296,151x = 651,324 × 651,324
  4. Step 4: Simplify right side
    296,151x = 424,222,952,976
  5. Step 5: Solve for x
    x = 424,222,952,976/296,151
  6. Step 6: Final answer
    x = 1,432,454.91

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.