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Finding the Third Proportional to 411,988 and 636,648

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Solution

The third proportional to 411,988 and 636,648 is: 983,816.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,988 : 636,648 = 636,648 : x
  2. Step 2: Convert to fraction form
    411,988/636,648 = 636,648/x
  3. Step 3: Cross multiply
    411,988x = 636,648 × 636,648
  4. Step 4: Simplify right side
    411,988x = 405,320,675,904
  5. Step 5: Solve for x
    x = 405,320,675,904/411,988
  6. Step 6: Final answer
    x = 983,816.70

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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.