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Finding the Third Proportional to 432,008 and 942,624

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Solution

The third proportional to 432,008 and 942,624 is: 2,056,767.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,008 : 942,624 = 942,624 : x
  2. Step 2: Convert to fraction form
    432,008/942,624 = 942,624/x
  3. Step 3: Cross multiply
    432,008x = 942,624 × 942,624
  4. Step 4: Simplify right side
    432,008x = 888,540,005,376
  5. Step 5: Solve for x
    x = 888,540,005,376/432,008
  6. Step 6: Final answer
    x = 2,056,767.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.