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Finding the Third Proportional to 296,079 and 651,192

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Solution

The third proportional to 296,079 and 651,192 is: 1,432,222.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,079 : 651,192 = 651,192 : x
  2. Step 2: Convert to fraction form
    296,079/651,192 = 651,192/x
  3. Step 3: Cross multiply
    296,079x = 651,192 × 651,192
  4. Step 4: Simplify right side
    296,079x = 424,051,020,864
  5. Step 5: Solve for x
    x = 424,051,020,864/296,079
  6. Step 6: Final answer
    x = 1,432,222.55

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Why These Related Problems?

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