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Finding the Third Proportional to 504,444 and 771,443

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Solution

The third proportional to 504,444 and 771,443 is: 1,179,762.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,444 : 771,443 = 771,443 : x
  2. Step 2: Convert to fraction form
    504,444/771,443 = 771,443/x
  3. Step 3: Cross multiply
    504,444x = 771,443 × 771,443
  4. Step 4: Simplify right side
    504,444x = 595,124,302,249
  5. Step 5: Solve for x
    x = 595,124,302,249/504,444
  6. Step 6: Final answer
    x = 1,179,762.87

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.