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Finding the Third Proportional to 235,404 and 514,519.50

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Solution

The third proportional to 235,404 and 514,519.50 is: 1,124,578.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,404 : 514,519.50 = 514,519.50 : x
  2. Step 2: Convert to fraction form
    235,404/514,519.50 = 514,519.50/x
  3. Step 3: Cross multiply
    235,404x = 514,519.50 × 514,519.50
  4. Step 4: Simplify right side
    235,404x = 264,730,315,880.25
  5. Step 5: Solve for x
    x = 264,730,315,880.25/235,404
  6. Step 6: Final answer
    x = 1,124,578.66

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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.