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Finding the Third Proportional to 224,457 and 492,534

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Solution

The third proportional to 224,457 and 492,534 is: 1,080,784.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,457 : 492,534 = 492,534 : x
  2. Step 2: Convert to fraction form
    224,457/492,534 = 492,534/x
  3. Step 3: Cross multiply
    224,457x = 492,534 × 492,534
  4. Step 4: Simplify right side
    224,457x = 242,589,741,156
  5. Step 5: Solve for x
    x = 242,589,741,156/224,457
  6. Step 6: Final answer
    x = 1,080,784.92

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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.