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Finding the Third Proportional to 374,675 and 562,023

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Solution

The third proportional to 374,675 and 562,023 is: 843,050.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,675 : 562,023 = 562,023 : x
  2. Step 2: Convert to fraction form
    374,675/562,023 = 562,023/x
  3. Step 3: Cross multiply
    374,675x = 562,023 × 562,023
  4. Step 4: Simplify right side
    374,675x = 315,869,852,529
  5. Step 5: Solve for x
    x = 315,869,852,529/374,675
  6. Step 6: Final answer
    x = 843,050.25

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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.