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Finding the Third Proportional to 328,362 and 714,234

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Solution

The third proportional to 328,362 and 714,234 is: 1,553,560.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,362 : 714,234 = 714,234 : x
  2. Step 2: Convert to fraction form
    328,362/714,234 = 714,234/x
  3. Step 3: Cross multiply
    328,362x = 714,234 × 714,234
  4. Step 4: Simplify right side
    328,362x = 510,130,206,756
  5. Step 5: Solve for x
    x = 510,130,206,756/328,362
  6. Step 6: Final answer
    x = 1,553,560.42

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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.