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Finding the Third Proportional to 444,348 and 634,974

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Solution

The third proportional to 444,348 and 634,974 is: 907,378.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,348 : 634,974 = 634,974 : x
  2. Step 2: Convert to fraction form
    444,348/634,974 = 634,974/x
  3. Step 3: Cross multiply
    444,348x = 634,974 × 634,974
  4. Step 4: Simplify right side
    444,348x = 403,191,980,676
  5. Step 5: Solve for x
    x = 403,191,980,676/444,348
  6. Step 6: Final answer
    x = 907,378.86

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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.