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Finding the Third Proportional to 751,209.75 and 1,163,924.63

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Solution

The third proportional to 751,209.75 and 1,163,924.63 is: 1,803,385.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    751,209.75 : 1,163,924.63 = 1,163,924.63 : x
  2. Step 2: Convert to fraction form
    751,209.75/1,163,924.63 = 1,163,924.63/x
  3. Step 3: Cross multiply
    751,209.75x = 1,163,924.63 × 1,163,924.63
  4. Step 4: Simplify right side
    751,209.75x = 1,354,720,532,681.39
  5. Step 5: Solve for x
    x = 1,354,720,532,681.39/751,209.75
  6. Step 6: Final answer
    x = 1,803,385.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.