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Finding the Third Proportional to 444,348 and 634,986

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Solution

The third proportional to 444,348 and 634,986 is: 907,413.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,348 : 634,986 = 634,986 : x
  2. Step 2: Convert to fraction form
    444,348/634,986 = 634,986/x
  3. Step 3: Cross multiply
    444,348x = 634,986 × 634,986
  4. Step 4: Simplify right side
    444,348x = 403,207,220,196
  5. Step 5: Solve for x
    x = 403,207,220,196/444,348
  6. Step 6: Final answer
    x = 907,413.15

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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.