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Finding the Third Proportional to 501,649 and 777,074

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Solution

The third proportional to 501,649 and 777,074 is: 1,203,718.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,649 : 777,074 = 777,074 : x
  2. Step 2: Convert to fraction form
    501,649/777,074 = 777,074/x
  3. Step 3: Cross multiply
    501,649x = 777,074 × 777,074
  4. Step 4: Simplify right side
    501,649x = 603,844,001,476
  5. Step 5: Solve for x
    x = 603,844,001,476/501,649
  6. Step 6: Final answer
    x = 1,203,718.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.