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Finding the Third Proportional to 489,305 and 756,229.50

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Solution

The third proportional to 489,305 and 756,229.50 is: 1,168,766.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,305 : 756,229.50 = 756,229.50 : x
  2. Step 2: Convert to fraction form
    489,305/756,229.50 = 756,229.50/x
  3. Step 3: Cross multiply
    489,305x = 756,229.50 × 756,229.50
  4. Step 4: Simplify right side
    489,305x = 571,883,056,670.25
  5. Step 5: Solve for x
    x = 571,883,056,670.25/489,305
  6. Step 6: Final answer
    x = 1,168,766.02

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.