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Finding the Third Proportional to 336,309 and 560,514

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Solution

The third proportional to 336,309 and 560,514 is: 934,188.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,309 : 560,514 = 560,514 : x
  2. Step 2: Convert to fraction form
    336,309/560,514 = 560,514/x
  3. Step 3: Cross multiply
    336,309x = 560,514 × 560,514
  4. Step 4: Simplify right side
    336,309x = 314,175,944,196
  5. Step 5: Solve for x
    x = 314,175,944,196/336,309
  6. Step 6: Final answer
    x = 934,188.33

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.