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Finding the Third Proportional to 268,461 and 588,589.50

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Solution

The third proportional to 268,461 and 588,589.50 is: 1,290,457.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,461 : 588,589.50 = 588,589.50 : x
  2. Step 2: Convert to fraction form
    268,461/588,589.50 = 588,589.50/x
  3. Step 3: Cross multiply
    268,461x = 588,589.50 × 588,589.50
  4. Step 4: Simplify right side
    268,461x = 346,437,599,510.25
  5. Step 5: Solve for x
    x = 346,437,599,510.25/268,461
  6. Step 6: Final answer
    x = 1,290,457.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.