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Finding the Third Proportional to 426,687.75 and 642,731.63

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Solution

The third proportional to 426,687.75 and 642,731.63 is: 968,164.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,687.75 : 642,731.63 = 642,731.63 : x
  2. Step 2: Convert to fraction form
    426,687.75/642,731.63 = 642,731.63/x
  3. Step 3: Cross multiply
    426,687.75x = 642,731.63 × 642,731.63
  4. Step 4: Simplify right side
    426,687.75x = 413,103,941,775.14
  5. Step 5: Solve for x
    x = 413,103,941,775.14/426,687.75
  6. Step 6: Final answer
    x = 968,164.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.