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Finding the Third Proportional to 484,418 and 756,058

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Solution

The third proportional to 484,418 and 756,058 is: 1,180,021.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,418 : 756,058 = 756,058 : x
  2. Step 2: Convert to fraction form
    484,418/756,058 = 756,058/x
  3. Step 3: Cross multiply
    484,418x = 756,058 × 756,058
  4. Step 4: Simplify right side
    484,418x = 571,623,699,364
  5. Step 5: Solve for x
    x = 571,623,699,364/484,418
  6. Step 6: Final answer
    x = 1,180,021.59

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.