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Finding the Third Proportional to 468,084 and 685,464

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Solution

The third proportional to 468,084 and 685,464 is: 1,003,796.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,084 : 685,464 = 685,464 : x
  2. Step 2: Convert to fraction form
    468,084/685,464 = 685,464/x
  3. Step 3: Cross multiply
    468,084x = 685,464 × 685,464
  4. Step 4: Simplify right side
    468,084x = 469,860,895,296
  5. Step 5: Solve for x
    x = 469,860,895,296/468,084
  6. Step 6: Final answer
    x = 1,003,796.10

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.