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Finding the Third Proportional to 440,496 and 669,969

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Solution

The third proportional to 440,496 and 669,969 is: 1,018,984.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,496 : 669,969 = 669,969 : x
  2. Step 2: Convert to fraction form
    440,496/669,969 = 669,969/x
  3. Step 3: Cross multiply
    440,496x = 669,969 × 669,969
  4. Step 4: Simplify right side
    440,496x = 448,858,460,961
  5. Step 5: Solve for x
    x = 448,858,460,961/440,496
  6. Step 6: Final answer
    x = 1,018,984.19

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.