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Finding the Third Proportional to 244,480 and 515,508

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Solution

The third proportional to 244,480 and 515,508 is: 1,086,994.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,480 : 515,508 = 515,508 : x
  2. Step 2: Convert to fraction form
    244,480/515,508 = 515,508/x
  3. Step 3: Cross multiply
    244,480x = 515,508 × 515,508
  4. Step 4: Simplify right side
    244,480x = 265,748,498,064
  5. Step 5: Solve for x
    x = 265,748,498,064/244,480
  6. Step 6: Final answer
    x = 1,086,994.84

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.