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Finding the Third Proportional to 496,790.72 and 787,935.09

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Solution

The third proportional to 496,790.72 and 787,935.09 is: 1,249,704.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,790.72 : 787,935.09 = 787,935.09 : x
  2. Step 2: Convert to fraction form
    496,790.72/787,935.09 = 787,935.09/x
  3. Step 3: Cross multiply
    496,790.72x = 787,935.09 × 787,935.09
  4. Step 4: Simplify right side
    496,790.72x = 620,841,711,962.82
  5. Step 5: Solve for x
    x = 620,841,711,962.82/496,790.72
  6. Step 6: Final answer
    x = 1,249,704.73

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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.