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Finding the Third Proportional to 311,044 and 682,352

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Solution

The third proportional to 311,044 and 682,352 is: 1,496,908.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,044 : 682,352 = 682,352 : x
  2. Step 2: Convert to fraction form
    311,044/682,352 = 682,352/x
  3. Step 3: Cross multiply
    311,044x = 682,352 × 682,352
  4. Step 4: Simplify right side
    311,044x = 465,604,251,904
  5. Step 5: Solve for x
    x = 465,604,251,904/311,044
  6. Step 6: Final answer
    x = 1,496,908.00

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.