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Finding the Third Proportional to 347,283 and 737,199

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Solution

The third proportional to 347,283 and 737,199 is: 1,564,897.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,283 : 737,199 = 737,199 : x
  2. Step 2: Convert to fraction form
    347,283/737,199 = 737,199/x
  3. Step 3: Cross multiply
    347,283x = 737,199 × 737,199
  4. Step 4: Simplify right side
    347,283x = 543,462,365,601
  5. Step 5: Solve for x
    x = 543,462,365,601/347,283
  6. Step 6: Final answer
    x = 1,564,897.69

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.