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Finding the Third Proportional to 397,134 and 599,355

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Solution

The third proportional to 397,134 and 599,355 is: 904,547.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,134 : 599,355 = 599,355 : x
  2. Step 2: Convert to fraction form
    397,134/599,355 = 599,355/x
  3. Step 3: Cross multiply
    397,134x = 599,355 × 599,355
  4. Step 4: Simplify right side
    397,134x = 359,226,416,025
  5. Step 5: Solve for x
    x = 359,226,416,025/397,134
  6. Step 6: Final answer
    x = 904,547.12

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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.