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Finding the Third Proportional to 383,464 and 805,464

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Solution

The third proportional to 383,464 and 805,464 is: 1,691,872.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,464 : 805,464 = 805,464 : x
  2. Step 2: Convert to fraction form
    383,464/805,464 = 805,464/x
  3. Step 3: Cross multiply
    383,464x = 805,464 × 805,464
  4. Step 4: Simplify right side
    383,464x = 648,772,255,296
  5. Step 5: Solve for x
    x = 648,772,255,296/383,464
  6. Step 6: Final answer
    x = 1,691,872.65

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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.