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Finding the Third Proportional to 202,939.63 and 440,461.13

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Solution

The third proportional to 202,939.63 and 440,461.13 is: 955,978.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,939.63 : 440,461.13 = 440,461.13 : x
  2. Step 2: Convert to fraction form
    202,939.63/440,461.13 = 440,461.13/x
  3. Step 3: Cross multiply
    202,939.63x = 440,461.13 × 440,461.13
  4. Step 4: Simplify right side
    202,939.63x = 194,006,002,636.27
  5. Step 5: Solve for x
    x = 194,006,002,636.27/202,939.63
  6. Step 6: Final answer
    x = 955,978.92

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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.