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Finding the Third Proportional to 636,898.50 and 946,701.56

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Solution

The third proportional to 636,898.50 and 946,701.56 is: 1,407,200.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    636,898.50 : 946,701.56 = 946,701.56 : x
  2. Step 2: Convert to fraction form
    636,898.50/946,701.56 = 946,701.56/x
  3. Step 3: Cross multiply
    636,898.50x = 946,701.56 × 946,701.56
  4. Step 4: Simplify right side
    636,898.50x = 896,243,848,439.94
  5. Step 5: Solve for x
    x = 896,243,848,439.94/636,898.50
  6. Step 6: Final answer
    x = 1,407,200.44

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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.