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Finding the Third Proportional to 432,232 and 694,480

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Solution

The third proportional to 432,232 and 694,480 is: 1,115,841.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,232 : 694,480 = 694,480 : x
  2. Step 2: Convert to fraction form
    432,232/694,480 = 694,480/x
  3. Step 3: Cross multiply
    432,232x = 694,480 × 694,480
  4. Step 4: Simplify right side
    432,232x = 482,302,470,400
  5. Step 5: Solve for x
    x = 482,302,470,400/432,232
  6. Step 6: Final answer
    x = 1,115,841.66

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.