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Finding the Third Proportional to 587,774 and 873,021

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Solution

The third proportional to 587,774 and 873,021 is: 1,296,698.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,774 : 873,021 = 873,021 : x
  2. Step 2: Convert to fraction form
    587,774/873,021 = 873,021/x
  3. Step 3: Cross multiply
    587,774x = 873,021 × 873,021
  4. Step 4: Simplify right side
    587,774x = 762,165,666,441
  5. Step 5: Solve for x
    x = 762,165,666,441/587,774
  6. Step 6: Final answer
    x = 1,296,698.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.