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Finding the Third Proportional to 427,515.75 and 601,293

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Solution

The third proportional to 427,515.75 and 601,293 is: 845,707.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,515.75 : 601,293 = 601,293 : x
  2. Step 2: Convert to fraction form
    427,515.75/601,293 = 601,293/x
  3. Step 3: Cross multiply
    427,515.75x = 601,293 × 601,293
  4. Step 4: Simplify right side
    427,515.75x = 361,553,271,849
  5. Step 5: Solve for x
    x = 361,553,271,849/427,515.75
  6. Step 6: Final answer
    x = 845,707.49

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.