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Finding the Third Proportional to 350,325 and 766,084.50

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Solution

The third proportional to 350,325 and 766,084.50 is: 1,675,260.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,325 : 766,084.50 = 766,084.50 : x
  2. Step 2: Convert to fraction form
    350,325/766,084.50 = 766,084.50/x
  3. Step 3: Cross multiply
    350,325x = 766,084.50 × 766,084.50
  4. Step 4: Simplify right side
    350,325x = 586,885,461,140.25
  5. Step 5: Solve for x
    x = 586,885,461,140.25/350,325
  6. Step 6: Final answer
    x = 1,675,260.00

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.