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Finding the Third Proportional to 448,469 and 689,310

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Solution

The third proportional to 448,469 and 689,310 is: 1,059,489.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,469 : 689,310 = 689,310 : x
  2. Step 2: Convert to fraction form
    448,469/689,310 = 689,310/x
  3. Step 3: Cross multiply
    448,469x = 689,310 × 689,310
  4. Step 4: Simplify right side
    448,469x = 475,148,276,100
  5. Step 5: Solve for x
    x = 475,148,276,100/448,469
  6. Step 6: Final answer
    x = 1,059,489.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.