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Finding the Third Proportional to 483,152.50 and 1,024,769

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Solution

The third proportional to 483,152.50 and 1,024,769 is: 2,173,540.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,152.50 : 1,024,769 = 1,024,769 : x
  2. Step 2: Convert to fraction form
    483,152.50/1,024,769 = 1,024,769/x
  3. Step 3: Cross multiply
    483,152.50x = 1,024,769 × 1,024,769
  4. Step 4: Simplify right side
    483,152.50x = 1,050,151,503,361
  5. Step 5: Solve for x
    x = 1,050,151,503,361/483,152.50
  6. Step 6: Final answer
    x = 2,173,540.45

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.