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Finding the Third Proportional to 268,101 and 589,333.50

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Solution

The third proportional to 268,101 and 589,333.50 is: 1,295,459.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,101 : 589,333.50 = 589,333.50 : x
  2. Step 2: Convert to fraction form
    268,101/589,333.50 = 589,333.50/x
  3. Step 3: Cross multiply
    268,101x = 589,333.50 × 589,333.50
  4. Step 4: Simplify right side
    268,101x = 347,313,974,222.25
  5. Step 5: Solve for x
    x = 347,313,974,222.25/268,101
  6. Step 6: Final answer
    x = 1,295,459.45

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.