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Finding the Third Proportional to 539,059.50 and 835,835.63

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Solution

The third proportional to 539,059.50 and 835,835.63 is: 1,296,000.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,059.50 : 835,835.63 = 835,835.63 : x
  2. Step 2: Convert to fraction form
    539,059.50/835,835.63 = 835,835.63/x
  3. Step 3: Cross multiply
    539,059.50x = 835,835.63 × 835,835.63
  4. Step 4: Simplify right side
    539,059.50x = 698,621,192,019.14
  5. Step 5: Solve for x
    x = 698,621,192,019.14/539,059.50
  6. Step 6: Final answer
    x = 1,296,000.15

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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.