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Finding the Third Proportional to 347,140.69 and 524,402.44

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Solution

The third proportional to 347,140.69 and 524,402.44 is: 792,180.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,140.69 : 524,402.44 = 524,402.44 : x
  2. Step 2: Convert to fraction form
    347,140.69/524,402.44 = 524,402.44/x
  3. Step 3: Cross multiply
    347,140.69x = 524,402.44 × 524,402.44
  4. Step 4: Simplify right side
    347,140.69x = 274,997,916,455.94
  5. Step 5: Solve for x
    x = 274,997,916,455.94/347,140.69
  6. Step 6: Final answer
    x = 792,180.02

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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.