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Finding the Third Proportional to 444,324 and 688,194

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Solution

The third proportional to 444,324 and 688,194 is: 1,065,913.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,324 : 688,194 = 688,194 : x
  2. Step 2: Convert to fraction form
    444,324/688,194 = 688,194/x
  3. Step 3: Cross multiply
    444,324x = 688,194 × 688,194
  4. Step 4: Simplify right side
    444,324x = 473,610,981,636
  5. Step 5: Solve for x
    x = 473,610,981,636/444,324
  6. Step 6: Final answer
    x = 1,065,913.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.