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Finding the Third Proportional to 262,329 and 694,284

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Solution

The third proportional to 262,329 and 694,284 is: 1,837,502.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,329 : 694,284 = 694,284 : x
  2. Step 2: Convert to fraction form
    262,329/694,284 = 694,284/x
  3. Step 3: Cross multiply
    262,329x = 694,284 × 694,284
  4. Step 4: Simplify right side
    262,329x = 482,030,272,656
  5. Step 5: Solve for x
    x = 482,030,272,656/262,329
  6. Step 6: Final answer
    x = 1,837,502.80

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Why These Related Problems?

These problems maintain the same ratio (2.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.