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Finding the Third Proportional to 354,988 and 772,170

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Solution

The third proportional to 354,988 and 772,170 is: 1,679,624.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,988 : 772,170 = 772,170 : x
  2. Step 2: Convert to fraction form
    354,988/772,170 = 772,170/x
  3. Step 3: Cross multiply
    354,988x = 772,170 × 772,170
  4. Step 4: Simplify right side
    354,988x = 596,246,508,900
  5. Step 5: Solve for x
    x = 596,246,508,900/354,988
  6. Step 6: Final answer
    x = 1,679,624.41

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.