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Finding the Third Proportional to 346,764 and 544,107

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Solution

The third proportional to 346,764 and 544,107 is: 853,757.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,764 : 544,107 = 544,107 : x
  2. Step 2: Convert to fraction form
    346,764/544,107 = 544,107/x
  3. Step 3: Cross multiply
    346,764x = 544,107 × 544,107
  4. Step 4: Simplify right side
    346,764x = 296,052,427,449
  5. Step 5: Solve for x
    x = 296,052,427,449/346,764
  6. Step 6: Final answer
    x = 853,757.68

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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.