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Finding the Third Proportional to 404,008 and 627,306

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Solution

The third proportional to 404,008 and 627,306 is: 974,022.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,008 : 627,306 = 627,306 : x
  2. Step 2: Convert to fraction form
    404,008/627,306 = 627,306/x
  3. Step 3: Cross multiply
    404,008x = 627,306 × 627,306
  4. Step 4: Simplify right side
    404,008x = 393,512,817,636
  5. Step 5: Solve for x
    x = 393,512,817,636/404,008
  6. Step 6: Final answer
    x = 974,022.34

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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.