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Finding the Third Proportional to 501,642 and 777,063

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Solution

The third proportional to 501,642 and 777,063 is: 1,203,700.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,642 : 777,063 = 777,063 : x
  2. Step 2: Convert to fraction form
    501,642/777,063 = 777,063/x
  3. Step 3: Cross multiply
    501,642x = 777,063 × 777,063
  4. Step 4: Simplify right side
    501,642x = 603,826,905,969
  5. Step 5: Solve for x
    x = 603,826,905,969/501,642
  6. Step 6: Final answer
    x = 1,203,700.86

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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.