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Finding the Third Proportional to 479,520 and 715,997

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Solution

The third proportional to 479,520 and 715,997 is: 1,069,093.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,520 : 715,997 = 715,997 : x
  2. Step 2: Convert to fraction form
    479,520/715,997 = 715,997/x
  3. Step 3: Cross multiply
    479,520x = 715,997 × 715,997
  4. Step 4: Simplify right side
    479,520x = 512,651,704,009
  5. Step 5: Solve for x
    x = 512,651,704,009/479,520
  6. Step 6: Final answer
    x = 1,069,093.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.