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Finding the Third Proportional to 432,264.75 and 939,282

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Solution

The third proportional to 432,264.75 and 939,282 is: 2,040,996.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,264.75 : 939,282 = 939,282 : x
  2. Step 2: Convert to fraction form
    432,264.75/939,282 = 939,282/x
  3. Step 3: Cross multiply
    432,264.75x = 939,282 × 939,282
  4. Step 4: Simplify right side
    432,264.75x = 882,250,675,524
  5. Step 5: Solve for x
    x = 882,250,675,524/432,264.75
  6. Step 6: Final answer
    x = 2,040,996.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.