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Finding the Third Proportional to 350,064 and 540,643.50

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Solution

The third proportional to 350,064 and 540,643.50 is: 834,977.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,064 : 540,643.50 = 540,643.50 : x
  2. Step 2: Convert to fraction form
    350,064/540,643.50 = 540,643.50/x
  3. Step 3: Cross multiply
    350,064x = 540,643.50 × 540,643.50
  4. Step 4: Simplify right side
    350,064x = 292,295,394,092.25
  5. Step 5: Solve for x
    x = 292,295,394,092.25/350,064
  6. Step 6: Final answer
    x = 834,977.02

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.