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Finding the Third Proportional to 202,448 and 432,921

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Solution

The third proportional to 202,448 and 432,921 is: 925,771.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,448 : 432,921 = 432,921 : x
  2. Step 2: Convert to fraction form
    202,448/432,921 = 432,921/x
  3. Step 3: Cross multiply
    202,448x = 432,921 × 432,921
  4. Step 4: Simplify right side
    202,448x = 187,420,592,241
  5. Step 5: Solve for x
    x = 187,420,592,241/202,448
  6. Step 6: Final answer
    x = 925,771.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.