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Finding the Third Proportional to 323,536 and 702,958

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Solution

The third proportional to 323,536 and 702,958 is: 1,527,341.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,536 : 702,958 = 702,958 : x
  2. Step 2: Convert to fraction form
    323,536/702,958 = 702,958/x
  3. Step 3: Cross multiply
    323,536x = 702,958 × 702,958
  4. Step 4: Simplify right side
    323,536x = 494,149,949,764
  5. Step 5: Solve for x
    x = 494,149,949,764/323,536
  6. Step 6: Final answer
    x = 1,527,341.47

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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.