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Finding the Third Proportional to 263,588 and 565,314

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Solution

The third proportional to 263,588 and 565,314 is: 1,212,422.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,588 : 565,314 = 565,314 : x
  2. Step 2: Convert to fraction form
    263,588/565,314 = 565,314/x
  3. Step 3: Cross multiply
    263,588x = 565,314 × 565,314
  4. Step 4: Simplify right side
    263,588x = 319,579,918,596
  5. Step 5: Solve for x
    x = 319,579,918,596/263,588
  6. Step 6: Final answer
    x = 1,212,422.11

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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.