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Finding the Third Proportional to 291,194.03 and 596,501.58

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Solution

The third proportional to 291,194.03 and 596,501.58 is: 1,221,914.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,194.03 : 596,501.58 = 596,501.58 : x
  2. Step 2: Convert to fraction form
    291,194.03/596,501.58 = 596,501.58/x
  3. Step 3: Cross multiply
    291,194.03x = 596,501.58 × 596,501.58
  4. Step 4: Simplify right side
    291,194.03x = 355,814,135,326.95
  5. Step 5: Solve for x
    x = 355,814,135,326.95/291,194.03
  6. Step 6: Final answer
    x = 1,221,914.25

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.