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Finding the Third Proportional to 342,552 and 722,034

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Solution

The third proportional to 342,552 and 722,034 is: 1,521,909.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,552 : 722,034 = 722,034 : x
  2. Step 2: Convert to fraction form
    342,552/722,034 = 722,034/x
  3. Step 3: Cross multiply
    342,552x = 722,034 × 722,034
  4. Step 4: Simplify right side
    342,552x = 521,333,097,156
  5. Step 5: Solve for x
    x = 521,333,097,156/342,552
  6. Step 6: Final answer
    x = 1,521,909.37

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.