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Finding the Third Proportional to 383,562 and 807,561

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Solution

The third proportional to 383,562 and 807,561 is: 1,700,259.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,562 : 807,561 = 807,561 : x
  2. Step 2: Convert to fraction form
    383,562/807,561 = 807,561/x
  3. Step 3: Cross multiply
    383,562x = 807,561 × 807,561
  4. Step 4: Simplify right side
    383,562x = 652,154,768,721
  5. Step 5: Solve for x
    x = 652,154,768,721/383,562
  6. Step 6: Final answer
    x = 1,700,259.07

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.