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Finding the Third Proportional to 263,254 and 385,008

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Solution

The third proportional to 263,254 and 385,008 is: 563,072.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,254 : 385,008 = 385,008 : x
  2. Step 2: Convert to fraction form
    263,254/385,008 = 385,008/x
  3. Step 3: Cross multiply
    263,254x = 385,008 × 385,008
  4. Step 4: Simplify right side
    263,254x = 148,231,160,064
  5. Step 5: Solve for x
    x = 148,231,160,064/263,254
  6. Step 6: Final answer
    x = 563,072.77

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.