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Finding the Third Proportional to 365,835 and 563,016

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Solution

The third proportional to 365,835 and 563,016 is: 866,475.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,835 : 563,016 = 563,016 : x
  2. Step 2: Convert to fraction form
    365,835/563,016 = 563,016/x
  3. Step 3: Cross multiply
    365,835x = 563,016 × 563,016
  4. Step 4: Simplify right side
    365,835x = 316,987,016,256
  5. Step 5: Solve for x
    x = 316,987,016,256/365,835
  6. Step 6: Final answer
    x = 866,475.37

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.