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Finding the Third Proportional to 374,817 and 579,741

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Solution

The third proportional to 374,817 and 579,741 is: 896,703.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,817 : 579,741 = 579,741 : x
  2. Step 2: Convert to fraction form
    374,817/579,741 = 579,741/x
  3. Step 3: Cross multiply
    374,817x = 579,741 × 579,741
  4. Step 4: Simplify right side
    374,817x = 336,099,627,081
  5. Step 5: Solve for x
    x = 336,099,627,081/374,817
  6. Step 6: Final answer
    x = 896,703.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.