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Finding the Third Proportional to 224,567,250 and 491,400,684

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Solution

The third proportional to 224,567,250 and 491,400,684 is: 1,075,288,726.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,567,250 : 491,400,684 = 491,400,684 : x
  2. Step 2: Convert to fraction form
    224,567,250/491,400,684 = 491,400,684/x
  3. Step 3: Cross multiply
    224,567,250x = 491,400,684 × 491,400,684
  4. Step 4: Simplify right side
    224,567,250x = 241,474,632,235,667,840
  5. Step 5: Solve for x
    x = 241,474,632,235,667,840/224,567,250
  6. Step 6: Final answer
    x = 1,075,288,726.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.