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Finding the Third Proportional to 264,287.25 and 402,627.38

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Solution

The third proportional to 264,287.25 and 402,627.38 is: 613,381.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,287.25 : 402,627.38 = 402,627.38 : x
  2. Step 2: Convert to fraction form
    264,287.25/402,627.38 = 402,627.38/x
  3. Step 3: Cross multiply
    264,287.25x = 402,627.38 × 402,627.38
  4. Step 4: Simplify right side
    264,287.25x = 162,108,803,099.39
  5. Step 5: Solve for x
    x = 162,108,803,099.39/264,287.25
  6. Step 6: Final answer
    x = 613,381.10

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.