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Finding the Third Proportional to 347,388 and 757,200

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Solution

The third proportional to 347,388 and 757,200 is: 1,650,465.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,388 : 757,200 = 757,200 : x
  2. Step 2: Convert to fraction form
    347,388/757,200 = 757,200/x
  3. Step 3: Cross multiply
    347,388x = 757,200 × 757,200
  4. Step 4: Simplify right side
    347,388x = 573,351,840,000
  5. Step 5: Solve for x
    x = 573,351,840,000/347,388
  6. Step 6: Final answer
    x = 1,650,465.30

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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.