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Finding the Third Proportional to 472,672.13 and 620,433

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Solution

The third proportional to 472,672.13 and 620,433 is: 814,385.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,672.13 : 620,433 = 620,433 : x
  2. Step 2: Convert to fraction form
    472,672.13/620,433 = 620,433/x
  3. Step 3: Cross multiply
    472,672.13x = 620,433 × 620,433
  4. Step 4: Simplify right side
    472,672.13x = 384,937,107,489
  5. Step 5: Solve for x
    x = 384,937,107,489/472,672.13
  6. Step 6: Final answer
    x = 814,385.04

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.