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Finding the Third Proportional to 261,794 and 565,364

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Solution

The third proportional to 261,794 and 565,364 is: 1,220,946.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,794 : 565,364 = 565,364 : x
  2. Step 2: Convert to fraction form
    261,794/565,364 = 565,364/x
  3. Step 3: Cross multiply
    261,794x = 565,364 × 565,364
  4. Step 4: Simplify right side
    261,794x = 319,636,452,496
  5. Step 5: Solve for x
    x = 319,636,452,496/261,794
  6. Step 6: Final answer
    x = 1,220,946.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.