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Finding the Third Proportional to 587,995 and 828,052

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Solution

The third proportional to 587,995 and 828,052 is: 1,166,115.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,995 : 828,052 = 828,052 : x
  2. Step 2: Convert to fraction form
    587,995/828,052 = 828,052/x
  3. Step 3: Cross multiply
    587,995x = 828,052 × 828,052
  4. Step 4: Simplify right side
    587,995x = 685,670,114,704
  5. Step 5: Solve for x
    x = 685,670,114,704/587,995
  6. Step 6: Final answer
    x = 1,166,115.55

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.