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Finding the Third Proportional to 634,944 and 958,896

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Solution

The third proportional to 634,944 and 958,896 is: 1,448,130.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,944 : 958,896 = 958,896 : x
  2. Step 2: Convert to fraction form
    634,944/958,896 = 958,896/x
  3. Step 3: Cross multiply
    634,944x = 958,896 × 958,896
  4. Step 4: Simplify right side
    634,944x = 919,481,538,816
  5. Step 5: Solve for x
    x = 919,481,538,816/634,944
  6. Step 6: Final answer
    x = 1,448,130.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.