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Finding the Third Proportional to 344,040 and 754,500

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Solution

The third proportional to 344,040 and 754,500 is: 1,654,662.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,040 : 754,500 = 754,500 : x
  2. Step 2: Convert to fraction form
    344,040/754,500 = 754,500/x
  3. Step 3: Cross multiply
    344,040x = 754,500 × 754,500
  4. Step 4: Simplify right side
    344,040x = 569,270,250,000
  5. Step 5: Solve for x
    x = 569,270,250,000/344,040
  6. Step 6: Final answer
    x = 1,654,662.98

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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.