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Finding the Third Proportional to 344,097 and 754,614

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Solution

The third proportional to 344,097 and 754,614 is: 1,654,888.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,097 : 754,614 = 754,614 : x
  2. Step 2: Convert to fraction form
    344,097/754,614 = 754,614/x
  3. Step 3: Cross multiply
    344,097x = 754,614 × 754,614
  4. Step 4: Simplify right side
    344,097x = 569,442,288,996
  5. Step 5: Solve for x
    x = 569,442,288,996/344,097
  6. Step 6: Final answer
    x = 1,654,888.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.