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Finding the Third Proportional to 262,514.25 and 562,329

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Solution

The third proportional to 262,514.25 and 562,329 is: 1,204,559.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,514.25 : 562,329 = 562,329 : x
  2. Step 2: Convert to fraction form
    262,514.25/562,329 = 562,329/x
  3. Step 3: Cross multiply
    262,514.25x = 562,329 × 562,329
  4. Step 4: Simplify right side
    262,514.25x = 316,213,904,241
  5. Step 5: Solve for x
    x = 316,213,904,241/262,514.25
  6. Step 6: Final answer
    x = 1,204,559.01

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.