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Finding the Third Proportional to 342,031.50 and 749,733

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Solution

The third proportional to 342,031.50 and 749,733 is: 1,643,414.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,031.50 : 749,733 = 749,733 : x
  2. Step 2: Convert to fraction form
    342,031.50/749,733 = 749,733/x
  3. Step 3: Cross multiply
    342,031.50x = 749,733 × 749,733
  4. Step 4: Simplify right side
    342,031.50x = 562,099,571,289
  5. Step 5: Solve for x
    x = 562,099,571,289/342,031.50
  6. Step 6: Final answer
    x = 1,643,414.63

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