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Finding the Third Proportional to 634,364 and 927,728

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Solution

The third proportional to 634,364 and 927,728 is: 1,356,759.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,364 : 927,728 = 927,728 : x
  2. Step 2: Convert to fraction form
    634,364/927,728 = 927,728/x
  3. Step 3: Cross multiply
    634,364x = 927,728 × 927,728
  4. Step 4: Simplify right side
    634,364x = 860,679,241,984
  5. Step 5: Solve for x
    x = 860,679,241,984/634,364
  6. Step 6: Final answer
    x = 1,356,759.28

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.