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Finding the Third Proportional to 224,460 and 491,148

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Solution

The third proportional to 224,460 and 491,148 is: 1,074,696.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,460 : 491,148 = 491,148 : x
  2. Step 2: Convert to fraction form
    224,460/491,148 = 491,148/x
  3. Step 3: Cross multiply
    224,460x = 491,148 × 491,148
  4. Step 4: Simplify right side
    224,460x = 241,226,357,904
  5. Step 5: Solve for x
    x = 241,226,357,904/224,460
  6. Step 6: Final answer
    x = 1,074,696.42

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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.