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Finding the Third Proportional to 489,714 and 693,565.50

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Solution

The third proportional to 489,714 and 693,565.50 is: 982,273.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,714 : 693,565.50 = 693,565.50 : x
  2. Step 2: Convert to fraction form
    489,714/693,565.50 = 693,565.50/x
  3. Step 3: Cross multiply
    489,714x = 693,565.50 × 693,565.50
  4. Step 4: Simplify right side
    489,714x = 481,033,102,790.25
  5. Step 5: Solve for x
    x = 481,033,102,790.25/489,714
  6. Step 6: Final answer
    x = 982,273.54

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.