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Finding the Third Proportional to 550,588 and 1,219,092.50

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Solution

The third proportional to 550,588 and 1,219,092.50 is: 2,699,271.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,588 : 1,219,092.50 = 1,219,092.50 : x
  2. Step 2: Convert to fraction form
    550,588/1,219,092.50 = 1,219,092.50/x
  3. Step 3: Cross multiply
    550,588x = 1,219,092.50 × 1,219,092.50
  4. Step 4: Simplify right side
    550,588x = 1,486,186,523,556.25
  5. Step 5: Solve for x
    x = 1,486,186,523,556.25/550,588
  6. Step 6: Final answer
    x = 2,699,271.55

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.