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Finding the Third Proportional to 202,444 and 432,911

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Solution

The third proportional to 202,444 and 432,911 is: 925,747.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,444 : 432,911 = 432,911 : x
  2. Step 2: Convert to fraction form
    202,444/432,911 = 432,911/x
  3. Step 3: Cross multiply
    202,444x = 432,911 × 432,911
  4. Step 4: Simplify right side
    202,444x = 187,411,933,921
  5. Step 5: Solve for x
    x = 187,411,933,921/202,444
  6. Step 6: Final answer
    x = 925,747.04

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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.