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Finding the Third Proportional to 292,031.75 and 426,960.75

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Solution

The third proportional to 292,031.75 and 426,960.75 is: 624,231.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,031.75 : 426,960.75 = 426,960.75 : x
  2. Step 2: Convert to fraction form
    292,031.75/426,960.75 = 426,960.75/x
  3. Step 3: Cross multiply
    292,031.75x = 426,960.75 × 426,960.75
  4. Step 4: Simplify right side
    292,031.75x = 182,295,482,040.56
  5. Step 5: Solve for x
    x = 182,295,482,040.56/292,031.75
  6. Step 6: Final answer
    x = 624,231.72

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.