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Finding the Third Proportional to 346,950.84 and 739,707.19

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Solution

The third proportional to 346,950.84 and 739,707.19 is: 1,577,072.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,950.84 : 739,707.19 = 739,707.19 : x
  2. Step 2: Convert to fraction form
    346,950.84/739,707.19 = 739,707.19/x
  3. Step 3: Cross multiply
    346,950.84x = 739,707.19 × 739,707.19
  4. Step 4: Simplify right side
    346,950.84x = 547,166,723,239.16
  5. Step 5: Solve for x
    x = 547,166,723,239.16/346,950.84
  6. Step 6: Final answer
    x = 1,577,072.76

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.