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Finding the Third Proportional to 345,069 and 752,877

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Solution

The third proportional to 345,069 and 752,877 is: 1,642,638.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,069 : 752,877 = 752,877 : x
  2. Step 2: Convert to fraction form
    345,069/752,877 = 752,877/x
  3. Step 3: Cross multiply
    345,069x = 752,877 × 752,877
  4. Step 4: Simplify right side
    345,069x = 566,823,777,129
  5. Step 5: Solve for x
    x = 566,823,777,129/345,069
  6. Step 6: Final answer
    x = 1,642,638.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.