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Finding the Third Proportional to 415,233.84 and 650,518.59

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Solution

The third proportional to 415,233.84 and 650,518.59 is: 1,019,123.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,233.84 : 650,518.59 = 650,518.59 : x
  2. Step 2: Convert to fraction form
    415,233.84/650,518.59 = 650,518.59/x
  3. Step 3: Cross multiply
    415,233.84x = 650,518.59 × 650,518.59
  4. Step 4: Simplify right side
    415,233.84x = 423,174,440,814.48
  5. Step 5: Solve for x
    x = 423,174,440,814.48/415,233.84
  6. Step 6: Final answer
    x = 1,019,123.19

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.