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Finding the Third Proportional to 454,462 and 702,969

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Solution

The third proportional to 454,462 and 702,969 is: 1,087,363.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,462 : 702,969 = 702,969 : x
  2. Step 2: Convert to fraction form
    454,462/702,969 = 702,969/x
  3. Step 3: Cross multiply
    454,462x = 702,969 × 702,969
  4. Step 4: Simplify right side
    454,462x = 494,165,414,961
  5. Step 5: Solve for x
    x = 494,165,414,961/454,462
  6. Step 6: Final answer
    x = 1,087,363.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.