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Finding the Third Proportional to 358,491.25 and 780,203.25

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Solution

The third proportional to 358,491.25 and 780,203.25 is: 1,697,997.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,491.25 : 780,203.25 = 780,203.25 : x
  2. Step 2: Convert to fraction form
    358,491.25/780,203.25 = 780,203.25/x
  3. Step 3: Cross multiply
    358,491.25x = 780,203.25 × 780,203.25
  4. Step 4: Simplify right side
    358,491.25x = 608,717,111,310.56
  5. Step 5: Solve for x
    x = 608,717,111,310.56/358,491.25
  6. Step 6: Final answer
    x = 1,697,997.12

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.