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Finding the Third Proportional to 397,066.50 and 599,302.13

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Solution

The third proportional to 397,066.50 and 599,302.13 is: 904,541.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,066.50 : 599,302.13 = 599,302.13 : x
  2. Step 2: Convert to fraction form
    397,066.50/599,302.13 = 599,302.13/x
  3. Step 3: Cross multiply
    397,066.50x = 599,302.13 × 599,302.13
  4. Step 4: Simplify right side
    397,066.50x = 359,163,037,029.52
  5. Step 5: Solve for x
    x = 359,163,037,029.52/397,066.50
  6. Step 6: Final answer
    x = 904,541.27

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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.