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Finding the Third Proportional to 773,015.25 and 1,203,692.25

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Solution

The third proportional to 773,015.25 and 1,203,692.25 is: 1,874,316.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    773,015.25 : 1,203,692.25 = 1,203,692.25 : x
  2. Step 2: Convert to fraction form
    773,015.25/1,203,692.25 = 1,203,692.25/x
  3. Step 3: Cross multiply
    773,015.25x = 1,203,692.25 × 1,203,692.25
  4. Step 4: Simplify right side
    773,015.25x = 1,448,875,032,710.06
  5. Step 5: Solve for x
    x = 1,448,875,032,710.06/773,015.25
  6. Step 6: Final answer
    x = 1,874,316.23

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.