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Finding the Third Proportional to 240,712 and 336,514

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Solution

The third proportional to 240,712 and 336,514 is: 470,444.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,712 : 336,514 = 336,514 : x
  2. Step 2: Convert to fraction form
    240,712/336,514 = 336,514/x
  3. Step 3: Cross multiply
    240,712x = 336,514 × 336,514
  4. Step 4: Simplify right side
    240,712x = 113,241,672,196
  5. Step 5: Solve for x
    x = 113,241,672,196/240,712
  6. Step 6: Final answer
    x = 470,444.65

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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.