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Finding the Third Proportional to 323,897 and 711,562

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Solution

The third proportional to 323,897 and 711,562 is: 1,563,214.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,897 : 711,562 = 711,562 : x
  2. Step 2: Convert to fraction form
    323,897/711,562 = 711,562/x
  3. Step 3: Cross multiply
    323,897x = 711,562 × 711,562
  4. Step 4: Simplify right side
    323,897x = 506,320,479,844
  5. Step 5: Solve for x
    x = 506,320,479,844/323,897
  6. Step 6: Final answer
    x = 1,563,214.48

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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.