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Finding the Third Proportional to 496,854 and 787,077

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Solution

The third proportional to 496,854 and 787,077 is: 1,246,825.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,854 : 787,077 = 787,077 : x
  2. Step 2: Convert to fraction form
    496,854/787,077 = 787,077/x
  3. Step 3: Cross multiply
    496,854x = 787,077 × 787,077
  4. Step 4: Simplify right side
    496,854x = 619,490,203,929
  5. Step 5: Solve for x
    x = 619,490,203,929/496,854
  6. Step 6: Final answer
    x = 1,246,825.43

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.