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Finding the Third Proportional to 202,364 and 439,719

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Solution

The third proportional to 202,364 and 439,719 is: 955,470.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,364 : 439,719 = 439,719 : x
  2. Step 2: Convert to fraction form
    202,364/439,719 = 439,719/x
  3. Step 3: Cross multiply
    202,364x = 439,719 × 439,719
  4. Step 4: Simplify right side
    202,364x = 193,352,798,961
  5. Step 5: Solve for x
    x = 193,352,798,961/202,364
  6. Step 6: Final answer
    x = 955,470.34

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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.