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Finding the Third Proportional to 383,466 and 805,468

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Solution

The third proportional to 383,466 and 805,468 is: 1,691,880.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,466 : 805,468 = 805,468 : x
  2. Step 2: Convert to fraction form
    383,466/805,468 = 805,468/x
  3. Step 3: Cross multiply
    383,466x = 805,468 × 805,468
  4. Step 4: Simplify right side
    383,466x = 648,778,699,024
  5. Step 5: Solve for x
    x = 648,778,699,024/383,466
  6. Step 6: Final answer
    x = 1,691,880.63

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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.