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Finding the Third Proportional to 500,652 and 776,268

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Solution

The third proportional to 500,652 and 776,268 is: 1,203,614.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,652 : 776,268 = 776,268 : x
  2. Step 2: Convert to fraction form
    500,652/776,268 = 776,268/x
  3. Step 3: Cross multiply
    500,652x = 776,268 × 776,268
  4. Step 4: Simplify right side
    500,652x = 602,592,007,824
  5. Step 5: Solve for x
    x = 602,592,007,824/500,652
  6. Step 6: Final answer
    x = 1,203,614.50

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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.