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Finding the Third Proportional to 274,356 and 598,986

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Solution

The third proportional to 274,356 and 598,986 is: 1,307,732.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,356 : 598,986 = 598,986 : x
  2. Step 2: Convert to fraction form
    274,356/598,986 = 598,986/x
  3. Step 3: Cross multiply
    274,356x = 598,986 × 598,986
  4. Step 4: Simplify right side
    274,356x = 358,784,228,196
  5. Step 5: Solve for x
    x = 358,784,228,196/274,356
  6. Step 6: Final answer
    x = 1,307,732.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.