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Finding the Third Proportional to 264,794 and 370,403

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Solution

The third proportional to 264,794 and 370,403 is: 518,132.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,794 : 370,403 = 370,403 : x
  2. Step 2: Convert to fraction form
    264,794/370,403 = 370,403/x
  3. Step 3: Cross multiply
    264,794x = 370,403 × 370,403
  4. Step 4: Simplify right side
    264,794x = 137,198,382,409
  5. Step 5: Solve for x
    x = 137,198,382,409/264,794
  6. Step 6: Final answer
    x = 518,132.52

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.