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Finding the Third Proportional to 264,854.25 and 403,401.38

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Solution

The third proportional to 264,854.25 and 403,401.38 is: 614,423.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,854.25 : 403,401.38 = 403,401.38 : x
  2. Step 2: Convert to fraction form
    264,854.25/403,401.38 = 403,401.38/x
  3. Step 3: Cross multiply
    264,854.25x = 403,401.38 × 403,401.38
  4. Step 4: Simplify right side
    264,854.25x = 162,732,669,351.89
  5. Step 5: Solve for x
    x = 162,732,669,351.89/264,854.25
  6. Step 6: Final answer
    x = 614,423.48

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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.