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Finding the Third Proportional to 303,708 and 607,056

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Solution

The third proportional to 303,708 and 607,056 is: 1,213,392.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,708 : 607,056 = 607,056 : x
  2. Step 2: Convert to fraction form
    303,708/607,056 = 607,056/x
  3. Step 3: Cross multiply
    303,708x = 607,056 × 607,056
  4. Step 4: Simplify right side
    303,708x = 368,516,987,136
  5. Step 5: Solve for x
    x = 368,516,987,136/303,708
  6. Step 6: Final answer
    x = 1,213,392.43

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.