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Finding the Third Proportional to 350,949.50 and 718,498.50

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Solution

The third proportional to 350,949.50 and 718,498.50 is: 1,470,981.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,949.50 : 718,498.50 = 718,498.50 : x
  2. Step 2: Convert to fraction form
    350,949.50/718,498.50 = 718,498.50/x
  3. Step 3: Cross multiply
    350,949.50x = 718,498.50 × 718,498.50
  4. Step 4: Simplify right side
    350,949.50x = 516,240,094,502.25
  5. Step 5: Solve for x
    x = 516,240,094,502.25/350,949.50
  6. Step 6: Final answer
    x = 1,470,981.14

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.