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Finding the Third Proportional to 501,400 and 776,754

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Solution

The third proportional to 501,400 and 776,754 is: 1,203,324.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,400 : 776,754 = 776,754 : x
  2. Step 2: Convert to fraction form
    501,400/776,754 = 776,754/x
  3. Step 3: Cross multiply
    501,400x = 776,754 × 776,754
  4. Step 4: Simplify right side
    501,400x = 603,346,776,516
  5. Step 5: Solve for x
    x = 603,346,776,516/501,400
  6. Step 6: Final answer
    x = 1,203,324.25

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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.