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Finding the Third Proportional to 296,086 and 651,218

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Solution

The third proportional to 296,086 and 651,218 is: 1,432,303.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,086 : 651,218 = 651,218 : x
  2. Step 2: Convert to fraction form
    296,086/651,218 = 651,218/x
  3. Step 3: Cross multiply
    296,086x = 651,218 × 651,218
  4. Step 4: Simplify right side
    296,086x = 424,084,883,524
  5. Step 5: Solve for x
    x = 424,084,883,524/296,086
  6. Step 6: Final answer
    x = 1,432,303.06

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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.