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Finding the Third Proportional to 349,764.75 and 749,138.63

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Solution

The third proportional to 349,764.75 and 749,138.63 is: 1,604,531.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,764.75 : 749,138.63 = 749,138.63 : x
  2. Step 2: Convert to fraction form
    349,764.75/749,138.63 = 749,138.63/x
  3. Step 3: Cross multiply
    349,764.75x = 749,138.63 × 749,138.63
  4. Step 4: Simplify right side
    349,764.75x = 561,208,679,466.89
  5. Step 5: Solve for x
    x = 561,208,679,466.89/349,764.75
  6. Step 6: Final answer
    x = 1,604,531.84

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.