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Finding the Third Proportional to 202,454 and 432,933

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Solution

The third proportional to 202,454 and 432,933 is: 925,795.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,454 : 432,933 = 432,933 : x
  2. Step 2: Convert to fraction form
    202,454/432,933 = 432,933/x
  3. Step 3: Cross multiply
    202,454x = 432,933 × 432,933
  4. Step 4: Simplify right side
    202,454x = 187,430,982,489
  5. Step 5: Solve for x
    x = 187,430,982,489/202,454
  6. Step 6: Final answer
    x = 925,795.40

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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.