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Finding the Third Proportional to 347,154.19 and 520,730.44

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Solution

The third proportional to 347,154.19 and 520,730.44 is: 781,094.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,154.19 : 520,730.44 = 520,730.44 : x
  2. Step 2: Convert to fraction form
    347,154.19/520,730.44 = 520,730.44/x
  3. Step 3: Cross multiply
    347,154.19x = 520,730.44 × 520,730.44
  4. Step 4: Simplify right side
    347,154.19x = 271,160,188,538.94
  5. Step 5: Solve for x
    x = 271,160,188,538.94/347,154.19
  6. Step 6: Final answer
    x = 781,094.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.