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Finding the Third Proportional to 250,371 and 556,713

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Solution

The third proportional to 250,371 and 556,713 is: 1,237,880.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,371 : 556,713 = 556,713 : x
  2. Step 2: Convert to fraction form
    250,371/556,713 = 556,713/x
  3. Step 3: Cross multiply
    250,371x = 556,713 × 556,713
  4. Step 4: Simplify right side
    250,371x = 309,929,364,369
  5. Step 5: Solve for x
    x = 309,929,364,369/250,371
  6. Step 6: Final answer
    x = 1,237,880.44

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.