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Finding the Third Proportional to 432,196 and 654,262

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Solution

The third proportional to 432,196 and 654,262 is: 990,427.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,196 : 654,262 = 654,262 : x
  2. Step 2: Convert to fraction form
    432,196/654,262 = 654,262/x
  3. Step 3: Cross multiply
    432,196x = 654,262 × 654,262
  4. Step 4: Simplify right side
    432,196x = 428,058,764,644
  5. Step 5: Solve for x
    x = 428,058,764,644/432,196
  6. Step 6: Final answer
    x = 990,427.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.