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Finding the Third Proportional to 341,569.50 and 730,431.75

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Solution

The third proportional to 341,569.50 and 730,431.75 is: 1,561,997.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,569.50 : 730,431.75 = 730,431.75 : x
  2. Step 2: Convert to fraction form
    341,569.50/730,431.75 = 730,431.75/x
  3. Step 3: Cross multiply
    341,569.50x = 730,431.75 × 730,431.75
  4. Step 4: Simplify right side
    341,569.50x = 533,530,541,408.06
  5. Step 5: Solve for x
    x = 533,530,541,408.06/341,569.50
  6. Step 6: Final answer
    x = 1,561,997.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.