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Finding the Third Proportional to 515,065.50 and 1,115,933.63

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Solution

The third proportional to 515,065.50 and 1,115,933.63 is: 2,417,766.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,065.50 : 1,115,933.63 = 1,115,933.63 : x
  2. Step 2: Convert to fraction form
    515,065.50/1,115,933.63 = 1,115,933.63/x
  3. Step 3: Cross multiply
    515,065.50x = 1,115,933.63 × 1,115,933.63
  4. Step 4: Simplify right side
    515,065.50x = 1,245,307,855,405.64
  5. Step 5: Solve for x
    x = 1,245,307,855,405.64/515,065.50
  6. Step 6: Final answer
    x = 2,417,766.00

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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.