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Finding the Third Proportional to 411,836 and 614,138

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Solution

The third proportional to 411,836 and 614,138 is: 915,814.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,836 : 614,138 = 614,138 : x
  2. Step 2: Convert to fraction form
    411,836/614,138 = 614,138/x
  3. Step 3: Cross multiply
    411,836x = 614,138 × 614,138
  4. Step 4: Simplify right side
    411,836x = 377,165,483,044
  5. Step 5: Solve for x
    x = 377,165,483,044/411,836
  6. Step 6: Final answer
    x = 915,814.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.