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Finding the Third Proportional to 357,837.75 and 771,721.50

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Solution

The third proportional to 357,837.75 and 771,721.50 is: 1,664,313.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,837.75 : 771,721.50 = 771,721.50 : x
  2. Step 2: Convert to fraction form
    357,837.75/771,721.50 = 771,721.50/x
  3. Step 3: Cross multiply
    357,837.75x = 771,721.50 × 771,721.50
  4. Step 4: Simplify right side
    357,837.75x = 595,554,073,562.25
  5. Step 5: Solve for x
    x = 595,554,073,562.25/357,837.75
  6. Step 6: Final answer
    x = 1,664,313.15

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.