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Finding the Third Proportional to 489,246.75 and 688,965.75

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Solution

The third proportional to 489,246.75 and 688,965.75 is: 970,213.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,246.75 : 688,965.75 = 688,965.75 : x
  2. Step 2: Convert to fraction form
    489,246.75/688,965.75 = 688,965.75/x
  3. Step 3: Cross multiply
    489,246.75x = 688,965.75 × 688,965.75
  4. Step 4: Simplify right side
    489,246.75x = 474,673,804,673.06
  5. Step 5: Solve for x
    x = 474,673,804,673.06/489,246.75
  6. Step 6: Final answer
    x = 970,213.51

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.