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Finding the Third Proportional to 237,894 and 347,910

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Solution

The third proportional to 237,894 and 347,910 is: 508,803.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,894 : 347,910 = 347,910 : x
  2. Step 2: Convert to fraction form
    237,894/347,910 = 347,910/x
  3. Step 3: Cross multiply
    237,894x = 347,910 × 347,910
  4. Step 4: Simplify right side
    237,894x = 121,041,368,100
  5. Step 5: Solve for x
    x = 121,041,368,100/237,894
  6. Step 6: Final answer
    x = 508,803.79

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.