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Finding the Third Proportional to 254,774.25 and 520,605

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Solution

The third proportional to 254,774.25 and 520,605 is: 1,063,802.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,774.25 : 520,605 = 520,605 : x
  2. Step 2: Convert to fraction form
    254,774.25/520,605 = 520,605/x
  3. Step 3: Cross multiply
    254,774.25x = 520,605 × 520,605
  4. Step 4: Simplify right side
    254,774.25x = 271,029,566,025
  5. Step 5: Solve for x
    x = 271,029,566,025/254,774.25
  6. Step 6: Final answer
    x = 1,063,802.82

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.