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Finding the Third Proportional to 464,553 and 676,605.75

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Solution

The third proportional to 464,553 and 676,605.75 is: 985,453.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,553 : 676,605.75 = 676,605.75 : x
  2. Step 2: Convert to fraction form
    464,553/676,605.75 = 676,605.75/x
  3. Step 3: Cross multiply
    464,553x = 676,605.75 × 676,605.75
  4. Step 4: Simplify right side
    464,553x = 457,795,340,933.06
  5. Step 5: Solve for x
    x = 457,795,340,933.06/464,553
  6. Step 6: Final answer
    x = 985,453.42

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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.