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Finding the Third Proportional to 344,364 and 755,184

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Solution

The third proportional to 344,364 and 755,184 is: 1,656,104.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,364 : 755,184 = 755,184 : x
  2. Step 2: Convert to fraction form
    344,364/755,184 = 755,184/x
  3. Step 3: Cross multiply
    344,364x = 755,184 × 755,184
  4. Step 4: Simplify right side
    344,364x = 570,302,873,856
  5. Step 5: Solve for x
    x = 570,302,873,856/344,364
  6. Step 6: Final answer
    x = 1,656,104.80

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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.