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Finding the Third Proportional to 358,985.25 and 765,487.13

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Solution

The third proportional to 358,985.25 and 765,487.13 is: 1,632,296.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,985.25 : 765,487.13 = 765,487.13 : x
  2. Step 2: Convert to fraction form
    358,985.25/765,487.13 = 765,487.13/x
  3. Step 3: Cross multiply
    358,985.25x = 765,487.13 × 765,487.13
  4. Step 4: Simplify right side
    358,985.25x = 585,970,538,540.77
  5. Step 5: Solve for x
    x = 585,970,538,540.77/358,985.25
  6. Step 6: Final answer
    x = 1,632,296.98

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.