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Finding the Third Proportional to 346,758 and 544,098

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Solution

The third proportional to 346,758 and 544,098 is: 853,744.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,758 : 544,098 = 544,098 : x
  2. Step 2: Convert to fraction form
    346,758/544,098 = 544,098/x
  3. Step 3: Cross multiply
    346,758x = 544,098 × 544,098
  4. Step 4: Simplify right side
    346,758x = 296,042,633,604
  5. Step 5: Solve for x
    x = 296,042,633,604/346,758
  6. Step 6: Final answer
    x = 853,744.21

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.