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Finding the Third Proportional to 675,274.50 and 1,030,064.63

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Solution

The third proportional to 675,274.50 and 1,030,064.63 is: 1,571,261.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,274.50 : 1,030,064.63 = 1,030,064.63 : x
  2. Step 2: Convert to fraction form
    675,274.50/1,030,064.63 = 1,030,064.63/x
  3. Step 3: Cross multiply
    675,274.50x = 1,030,064.63 × 1,030,064.63
  4. Step 4: Simplify right side
    675,274.50x = 1,061,033,131,676.39
  5. Step 5: Solve for x
    x = 1,061,033,131,676.39/675,274.50
  6. Step 6: Final answer
    x = 1,571,261.96

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