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Finding the Third Proportional to 347,558 and 758,980

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Solution

The third proportional to 347,558 and 758,980 is: 1,657,423.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,558 : 758,980 = 758,980 : x
  2. Step 2: Convert to fraction form
    347,558/758,980 = 758,980/x
  3. Step 3: Cross multiply
    347,558x = 758,980 × 758,980
  4. Step 4: Simplify right side
    347,558x = 576,050,640,400
  5. Step 5: Solve for x
    x = 576,050,640,400/347,558
  6. Step 6: Final answer
    x = 1,657,423.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.