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Finding the Third Proportional to 224,575 and 480,266

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Solution

The third proportional to 224,575 and 480,266 is: 1,027,075.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,575 : 480,266 = 480,266 : x
  2. Step 2: Convert to fraction form
    224,575/480,266 = 480,266/x
  3. Step 3: Cross multiply
    224,575x = 480,266 × 480,266
  4. Step 4: Simplify right side
    224,575x = 230,655,430,756
  5. Step 5: Solve for x
    x = 230,655,430,756/224,575
  6. Step 6: Final answer
    x = 1,027,075.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.