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Finding the Third Proportional to 444,522 and 688,494

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Solution

The third proportional to 444,522 and 688,494 is: 1,066,367.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,522 : 688,494 = 688,494 : x
  2. Step 2: Convert to fraction form
    444,522/688,494 = 688,494/x
  3. Step 3: Cross multiply
    444,522x = 688,494 × 688,494
  4. Step 4: Simplify right side
    444,522x = 474,023,988,036
  5. Step 5: Solve for x
    x = 474,023,988,036/444,522
  6. Step 6: Final answer
    x = 1,066,367.89

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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.