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Finding the Third Proportional to 559,968 and 842,832

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Solution

The third proportional to 559,968 and 842,832 is: 1,268,582.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,968 : 842,832 = 842,832 : x
  2. Step 2: Convert to fraction form
    559,968/842,832 = 842,832/x
  3. Step 3: Cross multiply
    559,968x = 842,832 × 842,832
  4. Step 4: Simplify right side
    559,968x = 710,365,780,224
  5. Step 5: Solve for x
    x = 710,365,780,224/559,968
  6. Step 6: Final answer
    x = 1,268,582.81

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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.