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Finding the Third Proportional to 588,211.50 and 879,975

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Solution

The third proportional to 588,211.50 and 879,975 is: 1,316,458.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,211.50 : 879,975 = 879,975 : x
  2. Step 2: Convert to fraction form
    588,211.50/879,975 = 879,975/x
  3. Step 3: Cross multiply
    588,211.50x = 879,975 × 879,975
  4. Step 4: Simplify right side
    588,211.50x = 774,356,000,625
  5. Step 5: Solve for x
    x = 774,356,000,625/588,211.50
  6. Step 6: Final answer
    x = 1,316,458.45

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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.