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Finding the Third Proportional to 244,233 and 514,706

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Solution

The third proportional to 244,233 and 514,706 is: 1,084,711.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,233 : 514,706 = 514,706 : x
  2. Step 2: Convert to fraction form
    244,233/514,706 = 514,706/x
  3. Step 3: Cross multiply
    244,233x = 514,706 × 514,706
  4. Step 4: Simplify right side
    244,233x = 264,922,266,436
  5. Step 5: Solve for x
    x = 264,922,266,436/244,233
  6. Step 6: Final answer
    x = 1,084,711.18

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.