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Finding the Third Proportional to 613,362 and 957,339

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Solution

The third proportional to 613,362 and 957,339 is: 1,494,220.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,362 : 957,339 = 957,339 : x
  2. Step 2: Convert to fraction form
    613,362/957,339 = 957,339/x
  3. Step 3: Cross multiply
    613,362x = 957,339 × 957,339
  4. Step 4: Simplify right side
    613,362x = 916,497,960,921
  5. Step 5: Solve for x
    x = 916,497,960,921/613,362
  6. Step 6: Final answer
    x = 1,494,220.32

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.