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Finding the Third Proportional to 281,201 and 607,314

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Solution

The third proportional to 281,201 and 607,314 is: 1,311,625.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,201 : 607,314 = 607,314 : x
  2. Step 2: Convert to fraction form
    281,201/607,314 = 607,314/x
  3. Step 3: Cross multiply
    281,201x = 607,314 × 607,314
  4. Step 4: Simplify right side
    281,201x = 368,830,294,596
  5. Step 5: Solve for x
    x = 368,830,294,596/281,201
  6. Step 6: Final answer
    x = 1,311,625.12

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Why These Related Problems?

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