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Finding the Third Proportional to 374,666.25 and 562,011

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Solution

The third proportional to 374,666.25 and 562,011 is: 843,033.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,666.25 : 562,011 = 562,011 : x
  2. Step 2: Convert to fraction form
    374,666.25/562,011 = 562,011/x
  3. Step 3: Cross multiply
    374,666.25x = 562,011 × 562,011
  4. Step 4: Simplify right side
    374,666.25x = 315,856,364,121
  5. Step 5: Solve for x
    x = 315,856,364,121/374,666.25
  6. Step 6: Final answer
    x = 843,033.94

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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.