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Finding the Third Proportional to 466,645.50 and 704,250

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Solution

The third proportional to 466,645.50 and 704,250 is: 1,062,836.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,645.50 : 704,250 = 704,250 : x
  2. Step 2: Convert to fraction form
    466,645.50/704,250 = 704,250/x
  3. Step 3: Cross multiply
    466,645.50x = 704,250 × 704,250
  4. Step 4: Simplify right side
    466,645.50x = 495,968,062,500
  5. Step 5: Solve for x
    x = 495,968,062,500/466,645.50
  6. Step 6: Final answer
    x = 1,062,836.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.