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Finding the Third Proportional to 556,992 and 812,016

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Solution

The third proportional to 556,992 and 812,016 is: 1,183,805.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,992 : 812,016 = 812,016 : x
  2. Step 2: Convert to fraction form
    556,992/812,016 = 812,016/x
  3. Step 3: Cross multiply
    556,992x = 812,016 × 812,016
  4. Step 4: Simplify right side
    556,992x = 659,369,984,256
  5. Step 5: Solve for x
    x = 659,369,984,256/556,992
  6. Step 6: Final answer
    x = 1,183,805.13

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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.