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Finding the Third Proportional to 281,951 and 607,914

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Solution

The third proportional to 281,951 and 607,914 is: 1,310,722.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,951 : 607,914 = 607,914 : x
  2. Step 2: Convert to fraction form
    281,951/607,914 = 607,914/x
  3. Step 3: Cross multiply
    281,951x = 607,914 × 607,914
  4. Step 4: Simplify right side
    281,951x = 369,559,431,396
  5. Step 5: Solve for x
    x = 369,559,431,396/281,951
  6. Step 6: Final answer
    x = 1,310,722.19

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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.