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Finding the Third Proportional to 574,457.25 and 877,238.25

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Solution

The third proportional to 574,457.25 and 877,238.25 is: 1,339,606.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,457.25 : 877,238.25 = 877,238.25 : x
  2. Step 2: Convert to fraction form
    574,457.25/877,238.25 = 877,238.25/x
  3. Step 3: Cross multiply
    574,457.25x = 877,238.25 × 877,238.25
  4. Step 4: Simplify right side
    574,457.25x = 769,546,947,263.06
  5. Step 5: Solve for x
    x = 769,546,947,263.06/574,457.25
  6. Step 6: Final answer
    x = 1,339,606.99

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.