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Finding the Third Proportional to 240,663 and 369,949.50

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Solution

The third proportional to 240,663 and 369,949.50 is: 568,689.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,663 : 369,949.50 = 369,949.50 : x
  2. Step 2: Convert to fraction form
    240,663/369,949.50 = 369,949.50/x
  3. Step 3: Cross multiply
    240,663x = 369,949.50 × 369,949.50
  4. Step 4: Simplify right side
    240,663x = 136,862,632,550.25
  5. Step 5: Solve for x
    x = 136,862,632,550.25/240,663
  6. Step 6: Final answer
    x = 568,689.96

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