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Finding the Third Proportional to 404,298 and 626,880

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Solution

The third proportional to 404,298 and 626,880 is: 972,002.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,298 : 626,880 = 626,880 : x
  2. Step 2: Convert to fraction form
    404,298/626,880 = 626,880/x
  3. Step 3: Cross multiply
    404,298x = 626,880 × 626,880
  4. Step 4: Simplify right side
    404,298x = 392,978,534,400
  5. Step 5: Solve for x
    x = 392,978,534,400/404,298
  6. Step 6: Final answer
    x = 972,002.17

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