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Finding the Third Proportional to 287,414 and 604,601

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Solution

The third proportional to 287,414 and 604,601 is: 1,271,832.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,414 : 604,601 = 604,601 : x
  2. Step 2: Convert to fraction form
    287,414/604,601 = 604,601/x
  3. Step 3: Cross multiply
    287,414x = 604,601 × 604,601
  4. Step 4: Simplify right side
    287,414x = 365,542,369,201
  5. Step 5: Solve for x
    x = 365,542,369,201/287,414
  6. Step 6: Final answer
    x = 1,271,832.16

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.