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Finding the Third Proportional to 357,228 and 770,541.75

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Solution

The third proportional to 357,228 and 770,541.75 is: 1,662,060.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,228 : 770,541.75 = 770,541.75 : x
  2. Step 2: Convert to fraction form
    357,228/770,541.75 = 770,541.75/x
  3. Step 3: Cross multiply
    357,228x = 770,541.75 × 770,541.75
  4. Step 4: Simplify right side
    357,228x = 593,734,588,493.06
  5. Step 5: Solve for x
    x = 593,734,588,493.06/357,228
  6. Step 6: Final answer
    x = 1,662,060.61

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.