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Finding the Third Proportional to 350,682 and 754,995.75

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Solution

The third proportional to 350,682 and 754,995.75 is: 1,625,457.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,682 : 754,995.75 = 754,995.75 : x
  2. Step 2: Convert to fraction form
    350,682/754,995.75 = 754,995.75/x
  3. Step 3: Cross multiply
    350,682x = 754,995.75 × 754,995.75
  4. Step 4: Simplify right side
    350,682x = 570,018,582,518.06
  5. Step 5: Solve for x
    x = 570,018,582,518.06/350,682
  6. Step 6: Final answer
    x = 1,625,457.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.