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Finding the Third Proportional to 297,102 and 641,566

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Solution

The third proportional to 297,102 and 641,566 is: 1,385,406.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,102 : 641,566 = 641,566 : x
  2. Step 2: Convert to fraction form
    297,102/641,566 = 641,566/x
  3. Step 3: Cross multiply
    297,102x = 641,566 × 641,566
  4. Step 4: Simplify right side
    297,102x = 411,606,932,356
  5. Step 5: Solve for x
    x = 411,606,932,356/297,102
  6. Step 6: Final answer
    x = 1,385,406.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.