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Finding the Third Proportional to 477,713.25 and 1,044,029.25

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Solution

The third proportional to 477,713.25 and 1,044,029.25 is: 2,281,697.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,713.25 : 1,044,029.25 = 1,044,029.25 : x
  2. Step 2: Convert to fraction form
    477,713.25/1,044,029.25 = 1,044,029.25/x
  3. Step 3: Cross multiply
    477,713.25x = 1,044,029.25 × 1,044,029.25
  4. Step 4: Simplify right side
    477,713.25x = 1,089,997,074,855.56
  5. Step 5: Solve for x
    x = 1,089,997,074,855.56/477,713.25
  6. Step 6: Final answer
    x = 2,281,697.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.