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Finding the Third Proportional to 452,138 and 614,058

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Solution

The third proportional to 452,138 and 614,058 is: 833,964.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,138 : 614,058 = 614,058 : x
  2. Step 2: Convert to fraction form
    452,138/614,058 = 614,058/x
  3. Step 3: Cross multiply
    452,138x = 614,058 × 614,058
  4. Step 4: Simplify right side
    452,138x = 377,067,227,364
  5. Step 5: Solve for x
    x = 377,067,227,364/452,138
  6. Step 6: Final answer
    x = 833,964.91

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.