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Finding the Third Proportional to 277,248 and 589,056

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Solution

The third proportional to 277,248 and 589,056 is: 1,251,540.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,248 : 589,056 = 589,056 : x
  2. Step 2: Convert to fraction form
    277,248/589,056 = 589,056/x
  3. Step 3: Cross multiply
    277,248x = 589,056 × 589,056
  4. Step 4: Simplify right side
    277,248x = 346,986,971,136
  5. Step 5: Solve for x
    x = 346,986,971,136/277,248
  6. Step 6: Final answer
    x = 1,251,540.03

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.