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Finding the Third Proportional to 299,292.75 and 403,800.75

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Solution

The third proportional to 299,292.75 and 403,800.75 is: 544,801.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,292.75 : 403,800.75 = 403,800.75 : x
  2. Step 2: Convert to fraction form
    299,292.75/403,800.75 = 403,800.75/x
  3. Step 3: Cross multiply
    299,292.75x = 403,800.75 × 403,800.75
  4. Step 4: Simplify right side
    299,292.75x = 163,055,045,700.56
  5. Step 5: Solve for x
    x = 163,055,045,700.56/299,292.75
  6. Step 6: Final answer
    x = 544,801.19

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.