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Finding the Third Proportional to 430,716 and 641,866

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Solution

The third proportional to 430,716 and 641,866 is: 956,528.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,716 : 641,866 = 641,866 : x
  2. Step 2: Convert to fraction form
    430,716/641,866 = 641,866/x
  3. Step 3: Cross multiply
    430,716x = 641,866 × 641,866
  4. Step 4: Simplify right side
    430,716x = 411,991,961,956
  5. Step 5: Solve for x
    x = 411,991,961,956/430,716
  6. Step 6: Final answer
    x = 956,528.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.