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Finding the Third Proportional to 450,336 and 694,980

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Solution

The third proportional to 450,336 and 694,980 is: 1,072,526.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,336 : 694,980 = 694,980 : x
  2. Step 2: Convert to fraction form
    450,336/694,980 = 694,980/x
  3. Step 3: Cross multiply
    450,336x = 694,980 × 694,980
  4. Step 4: Simplify right side
    450,336x = 482,997,200,400
  5. Step 5: Solve for x
    x = 482,997,200,400/450,336
  6. Step 6: Final answer
    x = 1,072,526.29

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.