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Finding the Third Proportional to 500,762.25 and 776,567.25

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Solution

The third proportional to 500,762.25 and 776,567.25 is: 1,204,277.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,762.25 : 776,567.25 = 776,567.25 : x
  2. Step 2: Convert to fraction form
    500,762.25/776,567.25 = 776,567.25/x
  3. Step 3: Cross multiply
    500,762.25x = 776,567.25 × 776,567.25
  4. Step 4: Simplify right side
    500,762.25x = 603,056,693,772.56
  5. Step 5: Solve for x
    x = 603,056,693,772.56/500,762.25
  6. Step 6: Final answer
    x = 1,204,277.47

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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.