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Finding the Third Proportional to 435,420 and 640,326.75

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Solution

The third proportional to 435,420 and 640,326.75 is: 941,661.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,420 : 640,326.75 = 640,326.75 : x
  2. Step 2: Convert to fraction form
    435,420/640,326.75 = 640,326.75/x
  3. Step 3: Cross multiply
    435,420x = 640,326.75 × 640,326.75
  4. Step 4: Simplify right side
    435,420x = 410,018,346,765.56
  5. Step 5: Solve for x
    x = 410,018,346,765.56/435,420
  6. Step 6: Final answer
    x = 941,661.72

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.