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Finding the Third Proportional to 349,770 and 513,173

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Solution

The third proportional to 349,770 and 513,173 is: 752,913.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,770 : 513,173 = 513,173 : x
  2. Step 2: Convert to fraction form
    349,770/513,173 = 513,173/x
  3. Step 3: Cross multiply
    349,770x = 513,173 × 513,173
  4. Step 4: Simplify right side
    349,770x = 263,346,527,929
  5. Step 5: Solve for x
    x = 263,346,527,929/349,770
  6. Step 6: Final answer
    x = 752,913.42

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.