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Finding the Third Proportional to 271,776 and 592,912

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Solution

The third proportional to 271,776 and 592,912 is: 1,293,508.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,776 : 592,912 = 592,912 : x
  2. Step 2: Convert to fraction form
    271,776/592,912 = 592,912/x
  3. Step 3: Cross multiply
    271,776x = 592,912 × 592,912
  4. Step 4: Simplify right side
    271,776x = 351,544,639,744
  5. Step 5: Solve for x
    x = 351,544,639,744/271,776
  6. Step 6: Final answer
    x = 1,293,508.77

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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.