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Finding the Third Proportional to 432,552 and 949,308

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Solution

The third proportional to 432,552 and 949,308 is: 2,083,415.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,552 : 949,308 = 949,308 : x
  2. Step 2: Convert to fraction form
    432,552/949,308 = 949,308/x
  3. Step 3: Cross multiply
    432,552x = 949,308 × 949,308
  4. Step 4: Simplify right side
    432,552x = 901,185,678,864
  5. Step 5: Solve for x
    x = 901,185,678,864/432,552
  6. Step 6: Final answer
    x = 2,083,415.82

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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.