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Finding the Third Proportional to 263,895 and 565,156

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Solution

The third proportional to 263,895 and 565,156 is: 1,210,334.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,895 : 565,156 = 565,156 : x
  2. Step 2: Convert to fraction form
    263,895/565,156 = 565,156/x
  3. Step 3: Cross multiply
    263,895x = 565,156 × 565,156
  4. Step 4: Simplify right side
    263,895x = 319,401,304,336
  5. Step 5: Solve for x
    x = 319,401,304,336/263,895
  6. Step 6: Final answer
    x = 1,210,334.81

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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.