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Finding the Third Proportional to 344,079 and 712,350

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Solution

The third proportional to 344,079 and 712,350 is: 1,474,784.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,079 : 712,350 = 712,350 : x
  2. Step 2: Convert to fraction form
    344,079/712,350 = 712,350/x
  3. Step 3: Cross multiply
    344,079x = 712,350 × 712,350
  4. Step 4: Simplify right side
    344,079x = 507,442,522,500
  5. Step 5: Solve for x
    x = 507,442,522,500/344,079
  6. Step 6: Final answer
    x = 1,474,784.93

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.