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Finding the Third Proportional to 432,536 and 949,276

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Solution

The third proportional to 432,536 and 949,276 is: 2,083,352.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,536 : 949,276 = 949,276 : x
  2. Step 2: Convert to fraction form
    432,536/949,276 = 949,276/x
  3. Step 3: Cross multiply
    432,536x = 949,276 × 949,276
  4. Step 4: Simplify right side
    432,536x = 901,124,924,176
  5. Step 5: Solve for x
    x = 901,124,924,176/432,536
  6. Step 6: Final answer
    x = 2,083,352.42

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Why These Related Problems?

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