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Finding the Third Proportional to 254,362 and 404,893

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Solution

The third proportional to 254,362 and 404,893 is: 644,507.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,362 : 404,893 = 404,893 : x
  2. Step 2: Convert to fraction form
    254,362/404,893 = 404,893/x
  3. Step 3: Cross multiply
    254,362x = 404,893 × 404,893
  4. Step 4: Simplify right side
    254,362x = 163,938,341,449
  5. Step 5: Solve for x
    x = 163,938,341,449/254,362
  6. Step 6: Final answer
    x = 644,507.99

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.