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Finding the Third Proportional to 343,709 and 755,123

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Solution

The third proportional to 343,709 and 755,123 is: 1,658,992.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,709 : 755,123 = 755,123 : x
  2. Step 2: Convert to fraction form
    343,709/755,123 = 755,123/x
  3. Step 3: Cross multiply
    343,709x = 755,123 × 755,123
  4. Step 4: Simplify right side
    343,709x = 570,210,745,129
  5. Step 5: Solve for x
    x = 570,210,745,129/343,709
  6. Step 6: Final answer
    x = 1,658,992.77

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.