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Finding the Third Proportional to 383,410 and 806,481

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Solution

The third proportional to 383,410 and 806,481 is: 1,696,386.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,410 : 806,481 = 806,481 : x
  2. Step 2: Convert to fraction form
    383,410/806,481 = 806,481/x
  3. Step 3: Cross multiply
    383,410x = 806,481 × 806,481
  4. Step 4: Simplify right side
    383,410x = 650,411,603,361
  5. Step 5: Solve for x
    x = 650,411,603,361/383,410
  6. Step 6: Final answer
    x = 1,696,386.64

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.