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Finding the Third Proportional to 344,944 and 754,008

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Solution

The third proportional to 344,944 and 754,008 is: 1,648,174.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,944 : 754,008 = 754,008 : x
  2. Step 2: Convert to fraction form
    344,944/754,008 = 754,008/x
  3. Step 3: Cross multiply
    344,944x = 754,008 × 754,008
  4. Step 4: Simplify right side
    344,944x = 568,528,064,064
  5. Step 5: Solve for x
    x = 568,528,064,064/344,944
  6. Step 6: Final answer
    x = 1,648,174.96

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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.