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Finding the Third Proportional to 374,720 and 562,088

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Solution

The third proportional to 374,720 and 562,088 is: 843,144.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,720 : 562,088 = 562,088 : x
  2. Step 2: Convert to fraction form
    374,720/562,088 = 562,088/x
  3. Step 3: Cross multiply
    374,720x = 562,088 × 562,088
  4. Step 4: Simplify right side
    374,720x = 315,942,919,744
  5. Step 5: Solve for x
    x = 315,942,919,744/374,720
  6. Step 6: Final answer
    x = 843,144.00

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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.