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Finding the Third Proportional to 515,994.25 and 758,824.50

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Solution

The third proportional to 515,994.25 and 758,824.50 is: 1,115,932.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,994.25 : 758,824.50 = 758,824.50 : x
  2. Step 2: Convert to fraction form
    515,994.25/758,824.50 = 758,824.50/x
  3. Step 3: Cross multiply
    515,994.25x = 758,824.50 × 758,824.50
  4. Step 4: Simplify right side
    515,994.25x = 575,814,621,800.25
  5. Step 5: Solve for x
    x = 575,814,621,800.25/515,994.25
  6. Step 6: Final answer
    x = 1,115,932.24

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.