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Finding the Third Proportional to 333,145.41 and 536,509.83

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Solution

The third proportional to 333,145.41 and 536,509.83 is: 864,015.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,145.41 : 536,509.83 = 536,509.83 : x
  2. Step 2: Convert to fraction form
    333,145.41/536,509.83 = 536,509.83/x
  3. Step 3: Cross multiply
    333,145.41x = 536,509.83 × 536,509.83
  4. Step 4: Simplify right side
    333,145.41x = 287,842,795,674.72
  5. Step 5: Solve for x
    x = 287,842,795,674.72/333,145.41
  6. Step 6: Final answer
    x = 864,015.50

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.