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Finding the Third Proportional to 263,578 and 565,294

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Solution

The third proportional to 263,578 and 565,294 is: 1,212,382.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,578 : 565,294 = 565,294 : x
  2. Step 2: Convert to fraction form
    263,578/565,294 = 565,294/x
  3. Step 3: Cross multiply
    263,578x = 565,294 × 565,294
  4. Step 4: Simplify right side
    263,578x = 319,557,306,436
  5. Step 5: Solve for x
    x = 319,557,306,436/263,578
  6. Step 6: Final answer
    x = 1,212,382.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.