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Finding the Third Proportional to 350,820 and 757,766.25

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Solution

The third proportional to 350,820 and 757,766.25 is: 1,636,764.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,820 : 757,766.25 = 757,766.25 : x
  2. Step 2: Convert to fraction form
    350,820/757,766.25 = 757,766.25/x
  3. Step 3: Cross multiply
    350,820x = 757,766.25 × 757,766.25
  4. Step 4: Simplify right side
    350,820x = 574,209,689,639.06
  5. Step 5: Solve for x
    x = 574,209,689,639.06/350,820
  6. Step 6: Final answer
    x = 1,636,764.41

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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.