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Finding the Third Proportional to 277,466 and 589,492

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Solution

The third proportional to 277,466 and 589,492 is: 1,252,408.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,466 : 589,492 = 589,492 : x
  2. Step 2: Convert to fraction form
    277,466/589,492 = 589,492/x
  3. Step 3: Cross multiply
    277,466x = 589,492 × 589,492
  4. Step 4: Simplify right side
    277,466x = 347,500,818,064
  5. Step 5: Solve for x
    x = 347,500,818,064/277,466
  6. Step 6: Final answer
    x = 1,252,408.65

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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.