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Finding the Third Proportional to 374,517 and 529,929

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Solution

The third proportional to 374,517 and 529,929 is: 749,831.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,517 : 529,929 = 529,929 : x
  2. Step 2: Convert to fraction form
    374,517/529,929 = 529,929/x
  3. Step 3: Cross multiply
    374,517x = 529,929 × 529,929
  4. Step 4: Simplify right side
    374,517x = 280,824,745,041
  5. Step 5: Solve for x
    x = 280,824,745,041/374,517
  6. Step 6: Final answer
    x = 749,831.77

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.