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Finding the Third Proportional to 323,898 and 711,564

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Solution

The third proportional to 323,898 and 711,564 is: 1,563,218.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,898 : 711,564 = 711,564 : x
  2. Step 2: Convert to fraction form
    323,898/711,564 = 711,564/x
  3. Step 3: Cross multiply
    323,898x = 711,564 × 711,564
  4. Step 4: Simplify right side
    323,898x = 506,323,326,096
  5. Step 5: Solve for x
    x = 506,323,326,096/323,898
  6. Step 6: Final answer
    x = 1,563,218.44

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.