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Finding the Third Proportional to 256,491 and 556,452

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Solution

The third proportional to 256,491 and 556,452 is: 1,207,211.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,491 : 556,452 = 556,452 : x
  2. Step 2: Convert to fraction form
    256,491/556,452 = 556,452/x
  3. Step 3: Cross multiply
    256,491x = 556,452 × 556,452
  4. Step 4: Simplify right side
    256,491x = 309,638,828,304
  5. Step 5: Solve for x
    x = 309,638,828,304/256,491
  6. Step 6: Final answer
    x = 1,207,211.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.