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Finding the Third Proportional to 461,196 and 589,302

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Solution

The third proportional to 461,196 and 589,302 is: 752,991.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,196 : 589,302 = 589,302 : x
  2. Step 2: Convert to fraction form
    461,196/589,302 = 589,302/x
  3. Step 3: Cross multiply
    461,196x = 589,302 × 589,302
  4. Step 4: Simplify right side
    461,196x = 347,276,847,204
  5. Step 5: Solve for x
    x = 347,276,847,204/461,196
  6. Step 6: Final answer
    x = 752,991.89

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.