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Finding the Third Proportional to 397,101 and 599,312

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Solution

The third proportional to 397,101 and 599,312 is: 904,492.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,101 : 599,312 = 599,312 : x
  2. Step 2: Convert to fraction form
    397,101/599,312 = 599,312/x
  3. Step 3: Cross multiply
    397,101x = 599,312 × 599,312
  4. Step 4: Simplify right side
    397,101x = 359,174,873,344
  5. Step 5: Solve for x
    x = 359,174,873,344/397,101
  6. Step 6: Final answer
    x = 904,492.49

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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.