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Finding the Third Proportional to 323,540 and 702,968

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Solution

The third proportional to 323,540 and 702,968 is: 1,527,366.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,540 : 702,968 = 702,968 : x
  2. Step 2: Convert to fraction form
    323,540/702,968 = 702,968/x
  3. Step 3: Cross multiply
    323,540x = 702,968 × 702,968
  4. Step 4: Simplify right side
    323,540x = 494,164,009,024
  5. Step 5: Solve for x
    x = 494,164,009,024/323,540
  6. Step 6: Final answer
    x = 1,527,366.04

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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.