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Finding the Third Proportional to 763,123.50 and 1,214,733

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Solution

The third proportional to 763,123.50 and 1,214,733 is: 1,933,600.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,123.50 : 1,214,733 = 1,214,733 : x
  2. Step 2: Convert to fraction form
    763,123.50/1,214,733 = 1,214,733/x
  3. Step 3: Cross multiply
    763,123.50x = 1,214,733 × 1,214,733
  4. Step 4: Simplify right side
    763,123.50x = 1,475,576,261,289
  5. Step 5: Solve for x
    x = 1,475,576,261,289/763,123.50
  6. Step 6: Final answer
    x = 1,933,600.87

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.