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Finding the Third Proportional to 224,716 and 491,636

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Solution

The third proportional to 224,716 and 491,636 is: 1,075,606.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,716 : 491,636 = 491,636 : x
  2. Step 2: Convert to fraction form
    224,716/491,636 = 491,636/x
  3. Step 3: Cross multiply
    224,716x = 491,636 × 491,636
  4. Step 4: Simplify right side
    224,716x = 241,705,956,496
  5. Step 5: Solve for x
    x = 241,705,956,496/224,716
  6. Step 6: Final answer
    x = 1,075,606.35

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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.