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Finding the Third Proportional to 374,677 and 562,026

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Solution

The third proportional to 374,677 and 562,026 is: 843,054.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,677 : 562,026 = 562,026 : x
  2. Step 2: Convert to fraction form
    374,677/562,026 = 562,026/x
  3. Step 3: Cross multiply
    374,677x = 562,026 × 562,026
  4. Step 4: Simplify right side
    374,677x = 315,873,224,676
  5. Step 5: Solve for x
    x = 315,873,224,676/374,677
  6. Step 6: Final answer
    x = 843,054.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.