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Finding the Third Proportional to 579,397.50 and 779,667.75

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Solution

The third proportional to 579,397.50 and 779,667.75 is: 1,049,161.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,397.50 : 779,667.75 = 779,667.75 : x
  2. Step 2: Convert to fraction form
    579,397.50/779,667.75 = 779,667.75/x
  3. Step 3: Cross multiply
    579,397.50x = 779,667.75 × 779,667.75
  4. Step 4: Simplify right side
    579,397.50x = 607,881,800,390.06
  5. Step 5: Solve for x
    x = 607,881,800,390.06/579,397.50
  6. Step 6: Final answer
    x = 1,049,161.93

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.