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Finding the Third Proportional to 281,272.50 and 607,532.06

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Solution

The third proportional to 281,272.50 and 607,532.06 is: 1,312,233.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,272.50 : 607,532.06 = 607,532.06 : x
  2. Step 2: Convert to fraction form
    281,272.50/607,532.06 = 607,532.06/x
  3. Step 3: Cross multiply
    281,272.50x = 607,532.06 × 607,532.06
  4. Step 4: Simplify right side
    281,272.50x = 369,095,206,965.50
  5. Step 5: Solve for x
    x = 369,095,206,965.50/281,272.50
  6. Step 6: Final answer
    x = 1,312,233.53

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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.