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Finding the Third Proportional to 411,986 and 636,646

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Solution

The third proportional to 411,986 and 636,646 is: 983,815.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,986 : 636,646 = 636,646 : x
  2. Step 2: Convert to fraction form
    411,986/636,646 = 636,646/x
  3. Step 3: Cross multiply
    411,986x = 636,646 × 636,646
  4. Step 4: Simplify right side
    411,986x = 405,318,129,316
  5. Step 5: Solve for x
    x = 405,318,129,316/411,986
  6. Step 6: Final answer
    x = 983,815.30

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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.