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Finding the Third Proportional to 322,119 and 686,893.50

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Solution

The third proportional to 322,119 and 686,893.50 is: 1,464,746.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,119 : 686,893.50 = 686,893.50 : x
  2. Step 2: Convert to fraction form
    322,119/686,893.50 = 686,893.50/x
  3. Step 3: Cross multiply
    322,119x = 686,893.50 × 686,893.50
  4. Step 4: Simplify right side
    322,119x = 471,822,680,342.25
  5. Step 5: Solve for x
    x = 471,822,680,342.25/322,119
  6. Step 6: Final answer
    x = 1,464,746.51

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.