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Finding the Third Proportional to 411,985.13 and 636,643.13

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Solution

The third proportional to 411,985.13 and 636,643.13 is: 983,808.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,985.13 : 636,643.13 = 636,643.13 : x
  2. Step 2: Convert to fraction form
    411,985.13/636,643.13 = 636,643.13/x
  3. Step 3: Cross multiply
    411,985.13x = 636,643.13 × 636,643.13
  4. Step 4: Simplify right side
    411,985.13x = 405,314,468,609.77
  5. Step 5: Solve for x
    x = 405,314,468,609.77/411,985.13
  6. Step 6: Final answer
    x = 983,808.50

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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.