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Finding the Third Proportional to 344,220 and 745,625

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Solution

The third proportional to 344,220 and 745,625 is: 1,615,120.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,220 : 745,625 = 745,625 : x
  2. Step 2: Convert to fraction form
    344,220/745,625 = 745,625/x
  3. Step 3: Cross multiply
    344,220x = 745,625 × 745,625
  4. Step 4: Simplify right side
    344,220x = 555,956,640,625
  5. Step 5: Solve for x
    x = 555,956,640,625/344,220
  6. Step 6: Final answer
    x = 1,615,120.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.