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Finding the Third Proportional to 374,464 and 565,728

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Solution

The third proportional to 374,464 and 565,728 is: 854,683.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,464 : 565,728 = 565,728 : x
  2. Step 2: Convert to fraction form
    374,464/565,728 = 565,728/x
  3. Step 3: Cross multiply
    374,464x = 565,728 × 565,728
  4. Step 4: Simplify right side
    374,464x = 320,048,169,984
  5. Step 5: Solve for x
    x = 320,048,169,984/374,464
  6. Step 6: Final answer
    x = 854,683.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.