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Finding the Third Proportional to 337,059 and 715,670

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Solution

The third proportional to 337,059 and 715,670 is: 1,519,566.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,059 : 715,670 = 715,670 : x
  2. Step 2: Convert to fraction form
    337,059/715,670 = 715,670/x
  3. Step 3: Cross multiply
    337,059x = 715,670 × 715,670
  4. Step 4: Simplify right side
    337,059x = 512,183,548,900
  5. Step 5: Solve for x
    x = 512,183,548,900/337,059
  6. Step 6: Final answer
    x = 1,519,566.45

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.