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Finding the Third Proportional to 604,588.50 and 913,686.75

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Solution

The third proportional to 604,588.50 and 913,686.75 is: 1,380,812.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,588.50 : 913,686.75 = 913,686.75 : x
  2. Step 2: Convert to fraction form
    604,588.50/913,686.75 = 913,686.75/x
  3. Step 3: Cross multiply
    604,588.50x = 913,686.75 × 913,686.75
  4. Step 4: Simplify right side
    604,588.50x = 834,823,477,125.56
  5. Step 5: Solve for x
    x = 834,823,477,125.56/604,588.50
  6. Step 6: Final answer
    x = 1,380,812.70

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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.