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Finding the Third Proportional to 320,497.50 and 683,893.50

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Solution

The third proportional to 320,497.50 and 683,893.50 is: 1,459,325.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,497.50 : 683,893.50 = 683,893.50 : x
  2. Step 2: Convert to fraction form
    320,497.50/683,893.50 = 683,893.50/x
  3. Step 3: Cross multiply
    320,497.50x = 683,893.50 × 683,893.50
  4. Step 4: Simplify right side
    320,497.50x = 467,710,319,342.25
  5. Step 5: Solve for x
    x = 467,710,319,342.25/320,497.50
  6. Step 6: Final answer
    x = 1,459,325.95

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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.