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Finding the Third Proportional to 429,483 and 970,323

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Solution

The third proportional to 429,483 and 970,323 is: 2,192,232.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,483 : 970,323 = 970,323 : x
  2. Step 2: Convert to fraction form
    429,483/970,323 = 970,323/x
  3. Step 3: Cross multiply
    429,483x = 970,323 × 970,323
  4. Step 4: Simplify right side
    429,483x = 941,526,724,329
  5. Step 5: Solve for x
    x = 941,526,724,329/429,483
  6. Step 6: Final answer
    x = 2,192,232.81

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.