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Finding the Third Proportional to 381,594.50 and 829,514

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Solution

The third proportional to 381,594.50 and 829,514 is: 1,803,205.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,594.50 : 829,514 = 829,514 : x
  2. Step 2: Convert to fraction form
    381,594.50/829,514 = 829,514/x
  3. Step 3: Cross multiply
    381,594.50x = 829,514 × 829,514
  4. Step 4: Simplify right side
    381,594.50x = 688,093,476,196
  5. Step 5: Solve for x
    x = 688,093,476,196/381,594.50
  6. Step 6: Final answer
    x = 1,803,205.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.