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Finding the Third Proportional to 327,465 and 704,731.50

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Solution

The third proportional to 327,465 and 704,731.50 is: 1,516,639.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,465 : 704,731.50 = 704,731.50 : x
  2. Step 2: Convert to fraction form
    327,465/704,731.50 = 704,731.50/x
  3. Step 3: Cross multiply
    327,465x = 704,731.50 × 704,731.50
  4. Step 4: Simplify right side
    327,465x = 496,646,487,092.25
  5. Step 5: Solve for x
    x = 496,646,487,092.25/327,465
  6. Step 6: Final answer
    x = 1,516,639.91

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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.