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Finding the Third Proportional to 202,421 and 437,863

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Solution

The third proportional to 202,421 and 437,863 is: 947,154.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,421 : 437,863 = 437,863 : x
  2. Step 2: Convert to fraction form
    202,421/437,863 = 437,863/x
  3. Step 3: Cross multiply
    202,421x = 437,863 × 437,863
  4. Step 4: Simplify right side
    202,421x = 191,724,006,769
  5. Step 5: Solve for x
    x = 191,724,006,769/202,421
  6. Step 6: Final answer
    x = 947,154.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.