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Finding the Third Proportional to 328,442.98 and 705,990.94

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Solution

The third proportional to 328,442.98 and 705,990.94 is: 1,517,533.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,442.98 : 705,990.94 = 705,990.94 : x
  2. Step 2: Convert to fraction form
    328,442.98/705,990.94 = 705,990.94/x
  3. Step 3: Cross multiply
    328,442.98x = 705,990.94 × 705,990.94
  4. Step 4: Simplify right side
    328,442.98x = 498,423,203,832.13
  5. Step 5: Solve for x
    x = 498,423,203,832.13/328,442.98
  6. Step 6: Final answer
    x = 1,517,533.45

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.