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Finding the Third Proportional to 357,228.25 and 770,543.75

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Solution

The third proportional to 357,228.25 and 770,543.75 is: 1,662,068.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,228.25 : 770,543.75 = 770,543.75 : x
  2. Step 2: Convert to fraction form
    357,228.25/770,543.75 = 770,543.75/x
  3. Step 3: Cross multiply
    357,228.25x = 770,543.75 × 770,543.75
  4. Step 4: Simplify right side
    357,228.25x = 593,737,670,664.06
  5. Step 5: Solve for x
    x = 593,737,670,664.06/357,228.25
  6. Step 6: Final answer
    x = 1,662,068.08

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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.