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Finding the Third Proportional to 540,829.50 and 848,367

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Solution

The third proportional to 540,829.50 and 848,367 is: 1,330,782.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,829.50 : 848,367 = 848,367 : x
  2. Step 2: Convert to fraction form
    540,829.50/848,367 = 848,367/x
  3. Step 3: Cross multiply
    540,829.50x = 848,367 × 848,367
  4. Step 4: Simplify right side
    540,829.50x = 719,726,566,689
  5. Step 5: Solve for x
    x = 719,726,566,689/540,829.50
  6. Step 6: Final answer
    x = 1,330,782.75

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.