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Finding the Third Proportional to 520,042 and 777,967

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Solution

The third proportional to 520,042 and 777,967 is: 1,163,814.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,042 : 777,967 = 777,967 : x
  2. Step 2: Convert to fraction form
    520,042/777,967 = 777,967/x
  3. Step 3: Cross multiply
    520,042x = 777,967 × 777,967
  4. Step 4: Simplify right side
    520,042x = 605,232,653,089
  5. Step 5: Solve for x
    x = 605,232,653,089/520,042
  6. Step 6: Final answer
    x = 1,163,814.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.