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Finding the Third Proportional to 274,566 and 562,511

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Solution

The third proportional to 274,566 and 562,511 is: 1,152,431.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,566 : 562,511 = 562,511 : x
  2. Step 2: Convert to fraction form
    274,566/562,511 = 562,511/x
  3. Step 3: Cross multiply
    274,566x = 562,511 × 562,511
  4. Step 4: Simplify right side
    274,566x = 316,418,625,121
  5. Step 5: Solve for x
    x = 316,418,625,121/274,566
  6. Step 6: Final answer
    x = 1,152,431.93

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.