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Finding the Third Proportional to 334,075.50 and 517,144.50

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Solution

The third proportional to 334,075.50 and 517,144.50 is: 800,532.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,075.50 : 517,144.50 = 517,144.50 : x
  2. Step 2: Convert to fraction form
    334,075.50/517,144.50 = 517,144.50/x
  3. Step 3: Cross multiply
    334,075.50x = 517,144.50 × 517,144.50
  4. Step 4: Simplify right side
    334,075.50x = 267,438,433,880.25
  5. Step 5: Solve for x
    x = 267,438,433,880.25/334,075.50
  6. Step 6: Final answer
    x = 800,532.92

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.