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Finding the Third Proportional to 769,549.50 and 1,184,580

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Solution

The third proportional to 769,549.50 and 1,184,580 is: 1,823,443.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,549.50 : 1,184,580 = 1,184,580 : x
  2. Step 2: Convert to fraction form
    769,549.50/1,184,580 = 1,184,580/x
  3. Step 3: Cross multiply
    769,549.50x = 1,184,580 × 1,184,580
  4. Step 4: Simplify right side
    769,549.50x = 1,403,229,776,400
  5. Step 5: Solve for x
    x = 1,403,229,776,400/769,549.50
  6. Step 6: Final answer
    x = 1,823,443.17

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.