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Finding the Third Proportional to 275,386.50 and 583,861.50

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Solution

The third proportional to 275,386.50 and 583,861.50 is: 1,237,875.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,386.50 : 583,861.50 = 583,861.50 : x
  2. Step 2: Convert to fraction form
    275,386.50/583,861.50 = 583,861.50/x
  3. Step 3: Cross multiply
    275,386.50x = 583,861.50 × 583,861.50
  4. Step 4: Simplify right side
    275,386.50x = 340,894,251,182.25
  5. Step 5: Solve for x
    x = 340,894,251,182.25/275,386.50
  6. Step 6: Final answer
    x = 1,237,875.68

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.