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Finding the Third Proportional to 604,649.50 and 914,790

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Solution

The third proportional to 604,649.50 and 914,790 is: 1,384,009.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,649.50 : 914,790 = 914,790 : x
  2. Step 2: Convert to fraction form
    604,649.50/914,790 = 914,790/x
  3. Step 3: Cross multiply
    604,649.50x = 914,790 × 914,790
  4. Step 4: Simplify right side
    604,649.50x = 836,840,744,100
  5. Step 5: Solve for x
    x = 836,840,744,100/604,649.50
  6. Step 6: Final answer
    x = 1,384,009.65

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.