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Finding the Third Proportional to 435,442 and 640,351

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Solution

The third proportional to 435,442 and 640,351 is: 941,685.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,442 : 640,351 = 640,351 : x
  2. Step 2: Convert to fraction form
    435,442/640,351 = 640,351/x
  3. Step 3: Cross multiply
    435,442x = 640,351 × 640,351
  4. Step 4: Simplify right side
    435,442x = 410,049,403,201
  5. Step 5: Solve for x
    x = 410,049,403,201/435,442
  6. Step 6: Final answer
    x = 941,685.47

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Why These Related Problems?

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