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Finding the Third Proportional to 444,952 and 688,764

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Solution

The third proportional to 444,952 and 688,764 is: 1,066,173.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,952 : 688,764 = 688,764 : x
  2. Step 2: Convert to fraction form
    444,952/688,764 = 688,764/x
  3. Step 3: Cross multiply
    444,952x = 688,764 × 688,764
  4. Step 4: Simplify right side
    444,952x = 474,395,847,696
  5. Step 5: Solve for x
    x = 474,395,847,696/444,952
  6. Step 6: Final answer
    x = 1,066,173.09

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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.