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Finding the Third Proportional to 374,873 and 599,564

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Solution

The third proportional to 374,873 and 599,564 is: 958,930.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,873 : 599,564 = 599,564 : x
  2. Step 2: Convert to fraction form
    374,873/599,564 = 599,564/x
  3. Step 3: Cross multiply
    374,873x = 599,564 × 599,564
  4. Step 4: Simplify right side
    374,873x = 359,476,990,096
  5. Step 5: Solve for x
    x = 359,476,990,096/374,873
  6. Step 6: Final answer
    x = 958,930.06

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.