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Finding the Third Proportional to 433,729.69 and 939,853.13

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Solution

The third proportional to 433,729.69 and 939,853.13 is: 2,036,576.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,729.69 : 939,853.13 = 939,853.13 : x
  2. Step 2: Convert to fraction form
    433,729.69/939,853.13 = 939,853.13/x
  3. Step 3: Cross multiply
    433,729.69x = 939,853.13 × 939,853.13
  4. Step 4: Simplify right side
    433,729.69x = 883,323,896,572.27
  5. Step 5: Solve for x
    x = 883,323,896,572.27/433,729.69
  6. Step 6: Final answer
    x = 2,036,576.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.