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Finding the Third Proportional to 335,892 and 709,700

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Solution

The third proportional to 335,892 and 709,700 is: 1,499,512.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,892 : 709,700 = 709,700 : x
  2. Step 2: Convert to fraction form
    335,892/709,700 = 709,700/x
  3. Step 3: Cross multiply
    335,892x = 709,700 × 709,700
  4. Step 4: Simplify right side
    335,892x = 503,674,090,000
  5. Step 5: Solve for x
    x = 503,674,090,000/335,892
  6. Step 6: Final answer
    x = 1,499,512.02

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.