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Finding the Third Proportional to 444,261 and 634,851

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Solution

The third proportional to 444,261 and 634,851 is: 907,204.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,261 : 634,851 = 634,851 : x
  2. Step 2: Convert to fraction form
    444,261/634,851 = 634,851/x
  3. Step 3: Cross multiply
    444,261x = 634,851 × 634,851
  4. Step 4: Simplify right side
    444,261x = 403,035,792,201
  5. Step 5: Solve for x
    x = 403,035,792,201/444,261
  6. Step 6: Final answer
    x = 907,204.98

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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.