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Finding the Third Proportional to 357,007.50 and 779,118.75

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Solution

The third proportional to 357,007.50 and 779,118.75 is: 1,700,317.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,007.50 : 779,118.75 = 779,118.75 : x
  2. Step 2: Convert to fraction form
    357,007.50/779,118.75 = 779,118.75/x
  3. Step 3: Cross multiply
    357,007.50x = 779,118.75 × 779,118.75
  4. Step 4: Simplify right side
    357,007.50x = 607,026,026,601.56
  5. Step 5: Solve for x
    x = 607,026,026,601.56/357,007.50
  6. Step 6: Final answer
    x = 1,700,317.29

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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.