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Finding the Third Proportional to 259,643.63 and 539,926.13

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Solution

The third proportional to 259,643.63 and 539,926.13 is: 1,122,770.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,643.63 : 539,926.13 = 539,926.13 : x
  2. Step 2: Convert to fraction form
    259,643.63/539,926.13 = 539,926.13/x
  3. Step 3: Cross multiply
    259,643.63x = 539,926.13 × 539,926.13
  4. Step 4: Simplify right side
    259,643.63x = 291,520,220,457.52
  5. Step 5: Solve for x
    x = 291,520,220,457.52/259,643.63
  6. Step 6: Final answer
    x = 1,122,770.57

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.