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Finding the Third Proportional to 565,129.50 and 848,962.50

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Solution

The third proportional to 565,129.50 and 848,962.50 is: 1,275,348.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,129.50 : 848,962.50 = 848,962.50 : x
  2. Step 2: Convert to fraction form
    565,129.50/848,962.50 = 848,962.50/x
  3. Step 3: Cross multiply
    565,129.50x = 848,962.50 × 848,962.50
  4. Step 4: Simplify right side
    565,129.50x = 720,737,326,406.25
  5. Step 5: Solve for x
    x = 720,737,326,406.25/565,129.50
  6. Step 6: Final answer
    x = 1,275,348.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.