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Finding the Third Proportional to 263,902 and 565,168

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Solution

The third proportional to 263,902 and 565,168 is: 1,210,354.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,902 : 565,168 = 565,168 : x
  2. Step 2: Convert to fraction form
    263,902/565,168 = 565,168/x
  3. Step 3: Cross multiply
    263,902x = 565,168 × 565,168
  4. Step 4: Simplify right side
    263,902x = 319,414,868,224
  5. Step 5: Solve for x
    x = 319,414,868,224/263,902
  6. Step 6: Final answer
    x = 1,210,354.10

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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.