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Finding the Third Proportional to 302,759 and 468,789

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Solution

The third proportional to 302,759 and 468,789 is: 725,868.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,759 : 468,789 = 468,789 : x
  2. Step 2: Convert to fraction form
    302,759/468,789 = 468,789/x
  3. Step 3: Cross multiply
    302,759x = 468,789 × 468,789
  4. Step 4: Simplify right side
    302,759x = 219,763,126,521
  5. Step 5: Solve for x
    x = 219,763,126,521/302,759
  6. Step 6: Final answer
    x = 725,868.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.