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Finding the Third Proportional to 231,418 and 349,594

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Solution

The third proportional to 231,418 and 349,594 is: 528,117.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,418 : 349,594 = 349,594 : x
  2. Step 2: Convert to fraction form
    231,418/349,594 = 349,594/x
  3. Step 3: Cross multiply
    231,418x = 349,594 × 349,594
  4. Step 4: Simplify right side
    231,418x = 122,215,964,836
  5. Step 5: Solve for x
    x = 122,215,964,836/231,418
  6. Step 6: Final answer
    x = 528,117.80

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.