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Finding the Third Proportional to 281,940 and 607,891.50

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Solution

The third proportional to 281,940 and 607,891.50 is: 1,310,676.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,940 : 607,891.50 = 607,891.50 : x
  2. Step 2: Convert to fraction form
    281,940/607,891.50 = 607,891.50/x
  3. Step 3: Cross multiply
    281,940x = 607,891.50 × 607,891.50
  4. Step 4: Simplify right side
    281,940x = 369,532,075,772.25
  5. Step 5: Solve for x
    x = 369,532,075,772.25/281,940
  6. Step 6: Final answer
    x = 1,310,676.30

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.