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Finding the Third Proportional to 496,757 and 787,888

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Solution

The third proportional to 496,757 and 787,888 is: 1,249,640.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,757 : 787,888 = 787,888 : x
  2. Step 2: Convert to fraction form
    496,757/787,888 = 787,888/x
  3. Step 3: Cross multiply
    496,757x = 787,888 × 787,888
  4. Step 4: Simplify right side
    496,757x = 620,767,500,544
  5. Step 5: Solve for x
    x = 620,767,500,544/496,757
  6. Step 6: Final answer
    x = 1,249,640.17

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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.