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Finding the Third Proportional to 341,032.50 and 533,418.75

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Solution

The third proportional to 341,032.50 and 533,418.75 is: 834,335.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,032.50 : 533,418.75 = 533,418.75 : x
  2. Step 2: Convert to fraction form
    341,032.50/533,418.75 = 533,418.75/x
  3. Step 3: Cross multiply
    341,032.50x = 533,418.75 × 533,418.75
  4. Step 4: Simplify right side
    341,032.50x = 284,535,562,851.56
  5. Step 5: Solve for x
    x = 284,535,562,851.56/341,032.50
  6. Step 6: Final answer
    x = 834,335.62

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.