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Finding the Third Proportional to 374,805 and 596,099

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Solution

The third proportional to 374,805 and 596,099 is: 948,050.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,805 : 596,099 = 596,099 : x
  2. Step 2: Convert to fraction form
    374,805/596,099 = 596,099/x
  3. Step 3: Cross multiply
    374,805x = 596,099 × 596,099
  4. Step 4: Simplify right side
    374,805x = 355,334,017,801
  5. Step 5: Solve for x
    x = 355,334,017,801/374,805
  6. Step 6: Final answer
    x = 948,050.37

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.