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Finding the Third Proportional to 432,155 and 933,552

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Solution

The third proportional to 432,155 and 933,552 is: 2,016,682.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,155 : 933,552 = 933,552 : x
  2. Step 2: Convert to fraction form
    432,155/933,552 = 933,552/x
  3. Step 3: Cross multiply
    432,155x = 933,552 × 933,552
  4. Step 4: Simplify right side
    432,155x = 871,519,336,704
  5. Step 5: Solve for x
    x = 871,519,336,704/432,155
  6. Step 6: Final answer
    x = 2,016,682.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.