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Finding the Third Proportional to 224,787 and 481,557

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Solution

The third proportional to 224,787 and 481,557 is: 1,031,630.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,787 : 481,557 = 481,557 : x
  2. Step 2: Convert to fraction form
    224,787/481,557 = 481,557/x
  3. Step 3: Cross multiply
    224,787x = 481,557 × 481,557
  4. Step 4: Simplify right side
    224,787x = 231,897,144,249
  5. Step 5: Solve for x
    x = 231,897,144,249/224,787
  6. Step 6: Final answer
    x = 1,031,630.58

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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.