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Finding the Third Proportional to 224,455 and 492,527

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Solution

The third proportional to 224,455 and 492,527 is: 1,080,763.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,455 : 492,527 = 492,527 : x
  2. Step 2: Convert to fraction form
    224,455/492,527 = 492,527/x
  3. Step 3: Cross multiply
    224,455x = 492,527 × 492,527
  4. Step 4: Simplify right side
    224,455x = 242,582,845,729
  5. Step 5: Solve for x
    x = 242,582,845,729/224,455
  6. Step 6: Final answer
    x = 1,080,763.83

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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.