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Finding the Third Proportional to 347,047.45 and 773,848.69

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Solution

The third proportional to 347,047.45 and 773,848.69 is: 1,725,532.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,047.45 : 773,848.69 = 773,848.69 : x
  2. Step 2: Convert to fraction form
    347,047.45/773,848.69 = 773,848.69/x
  3. Step 3: Cross multiply
    347,047.45x = 773,848.69 × 773,848.69
  4. Step 4: Simplify right side
    347,047.45x = 598,841,791,145.47
  5. Step 5: Solve for x
    x = 598,841,791,145.47/347,047.45
  6. Step 6: Final answer
    x = 1,725,532.88

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.