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Finding the Third Proportional to 496,789.88 and 787,937.63

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Solution

The third proportional to 496,789.88 and 787,937.63 is: 1,249,714.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,789.88 : 787,937.63 = 787,937.63 : x
  2. Step 2: Convert to fraction form
    496,789.88/787,937.63 = 787,937.63/x
  3. Step 3: Cross multiply
    496,789.88x = 787,937.63 × 787,937.63
  4. Step 4: Simplify right side
    496,789.88x = 620,845,700,890.64
  5. Step 5: Solve for x
    x = 620,845,700,890.64/496,789.88
  6. Step 6: Final answer
    x = 1,249,714.88

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.