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Finding the Third Proportional to 237,894 and 347,907

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Solution

The third proportional to 237,894 and 347,907 is: 508,795.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,894 : 347,907 = 347,907 : x
  2. Step 2: Convert to fraction form
    237,894/347,907 = 347,907/x
  3. Step 3: Cross multiply
    237,894x = 347,907 × 347,907
  4. Step 4: Simplify right side
    237,894x = 121,039,280,649
  5. Step 5: Solve for x
    x = 121,039,280,649/237,894
  6. Step 6: Final answer
    x = 508,795.01

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Why These Related Problems?

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