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Finding the Third Proportional to 323,296 and 702,552

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Solution

The third proportional to 323,296 and 702,552 is: 1,526,710.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,296 : 702,552 = 702,552 : x
  2. Step 2: Convert to fraction form
    323,296/702,552 = 702,552/x
  3. Step 3: Cross multiply
    323,296x = 702,552 × 702,552
  4. Step 4: Simplify right side
    323,296x = 493,579,312,704
  5. Step 5: Solve for x
    x = 493,579,312,704/323,296
  6. Step 6: Final answer
    x = 1,526,710.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.