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Finding the Third Proportional to 634,732 and 927,772

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Solution

The third proportional to 634,732 and 927,772 is: 1,356,101.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,732 : 927,772 = 927,772 : x
  2. Step 2: Convert to fraction form
    634,732/927,772 = 927,772/x
  3. Step 3: Cross multiply
    634,732x = 927,772 × 927,772
  4. Step 4: Simplify right side
    634,732x = 860,760,883,984
  5. Step 5: Solve for x
    x = 860,760,883,984/634,732
  6. Step 6: Final answer
    x = 1,356,101.29

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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.