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Finding the Third Proportional to 634,232 and 982,240

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Solution

The third proportional to 634,232 and 982,240 is: 1,521,202.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,232 : 982,240 = 982,240 : x
  2. Step 2: Convert to fraction form
    634,232/982,240 = 982,240/x
  3. Step 3: Cross multiply
    634,232x = 982,240 × 982,240
  4. Step 4: Simplify right side
    634,232x = 964,795,417,600
  5. Step 5: Solve for x
    x = 964,795,417,600/634,232
  6. Step 6: Final answer
    x = 1,521,202.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.