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Finding the Third Proportional to 444,263 and 634,854

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Solution

The third proportional to 444,263 and 634,854 is: 907,209.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,263 : 634,854 = 634,854 : x
  2. Step 2: Convert to fraction form
    444,263/634,854 = 634,854/x
  3. Step 3: Cross multiply
    444,263x = 634,854 × 634,854
  4. Step 4: Simplify right side
    444,263x = 403,039,601,316
  5. Step 5: Solve for x
    x = 403,039,601,316/444,263
  6. Step 6: Final answer
    x = 907,209.47

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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.