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Finding the Third Proportional to 323,088 and 704,926

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Solution

The third proportional to 323,088 and 704,926 is: 1,538,035.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,088 : 704,926 = 704,926 : x
  2. Step 2: Convert to fraction form
    323,088/704,926 = 704,926/x
  3. Step 3: Cross multiply
    323,088x = 704,926 × 704,926
  4. Step 4: Simplify right side
    323,088x = 496,920,665,476
  5. Step 5: Solve for x
    x = 496,920,665,476/323,088
  6. Step 6: Final answer
    x = 1,538,035.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.