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Finding the Third Proportional to 574,114.50 and 844,561.50

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Solution

The third proportional to 574,114.50 and 844,561.50 is: 1,242,407.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,114.50 : 844,561.50 = 844,561.50 : x
  2. Step 2: Convert to fraction form
    574,114.50/844,561.50 = 844,561.50/x
  3. Step 3: Cross multiply
    574,114.50x = 844,561.50 × 844,561.50
  4. Step 4: Simplify right side
    574,114.50x = 713,284,127,282.25
  5. Step 5: Solve for x
    x = 713,284,127,282.25/574,114.50
  6. Step 6: Final answer
    x = 1,242,407.44

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.