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Finding the Third Proportional to 594,022 and 787,679

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Solution

The third proportional to 594,022 and 787,679 is: 1,044,470.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,022 : 787,679 = 787,679 : x
  2. Step 2: Convert to fraction form
    594,022/787,679 = 787,679/x
  3. Step 3: Cross multiply
    594,022x = 787,679 × 787,679
  4. Step 4: Simplify right side
    594,022x = 620,438,207,041
  5. Step 5: Solve for x
    x = 620,438,207,041/594,022
  6. Step 6: Final answer
    x = 1,044,470.08

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.