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Finding the Third Proportional to 444,303 and 634,896

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Solution

The third proportional to 444,303 and 634,896 is: 907,247.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,303 : 634,896 = 634,896 : x
  2. Step 2: Convert to fraction form
    444,303/634,896 = 634,896/x
  3. Step 3: Cross multiply
    444,303x = 634,896 × 634,896
  4. Step 4: Simplify right side
    444,303x = 403,092,930,816
  5. Step 5: Solve for x
    x = 403,092,930,816/444,303
  6. Step 6: Final answer
    x = 907,247.83

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.