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Finding the Third Proportional to 374,665.50 and 562,010

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Solution

The third proportional to 374,665.50 and 562,010 is: 843,032.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,665.50 : 562,010 = 562,010 : x
  2. Step 2: Convert to fraction form
    374,665.50/562,010 = 562,010/x
  3. Step 3: Cross multiply
    374,665.50x = 562,010 × 562,010
  4. Step 4: Simplify right side
    374,665.50x = 315,855,240,100
  5. Step 5: Solve for x
    x = 315,855,240,100/374,665.50
  6. Step 6: Final answer
    x = 843,032.63

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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.