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Finding the Third Proportional to 224,308 and 492,210

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Solution

The third proportional to 224,308 and 492,210 is: 1,080,080.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,308 : 492,210 = 492,210 : x
  2. Step 2: Convert to fraction form
    224,308/492,210 = 492,210/x
  3. Step 3: Cross multiply
    224,308x = 492,210 × 492,210
  4. Step 4: Simplify right side
    224,308x = 242,270,684,100
  5. Step 5: Solve for x
    x = 242,270,684,100/224,308
  6. Step 6: Final answer
    x = 1,080,080.44

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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.