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Finding the Third Proportional to 202,447 and 432,918

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Solution

The third proportional to 202,447 and 432,918 is: 925,763.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,447 : 432,918 = 432,918 : x
  2. Step 2: Convert to fraction form
    202,447/432,918 = 432,918/x
  3. Step 3: Cross multiply
    202,447x = 432,918 × 432,918
  4. Step 4: Simplify right side
    202,447x = 187,417,994,724
  5. Step 5: Solve for x
    x = 187,417,994,724/202,447
  6. Step 6: Final answer
    x = 925,763.26

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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.