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Finding the Third Proportional to 613,360 and 957,336

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Solution

The third proportional to 613,360 and 957,336 is: 1,494,215.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,360 : 957,336 = 957,336 : x
  2. Step 2: Convert to fraction form
    613,360/957,336 = 957,336/x
  3. Step 3: Cross multiply
    613,360x = 957,336 × 957,336
  4. Step 4: Simplify right side
    613,360x = 916,492,216,896
  5. Step 5: Solve for x
    x = 916,492,216,896/613,360
  6. Step 6: Final answer
    x = 1,494,215.82

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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.