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Finding the Third Proportional to 229,414 and 492,053

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Solution

The third proportional to 229,414 and 492,053 is: 1,055,367.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,414 : 492,053 = 492,053 : x
  2. Step 2: Convert to fraction form
    229,414/492,053 = 492,053/x
  3. Step 3: Cross multiply
    229,414x = 492,053 × 492,053
  4. Step 4: Simplify right side
    229,414x = 242,116,154,809
  5. Step 5: Solve for x
    x = 242,116,154,809/229,414
  6. Step 6: Final answer
    x = 1,055,367.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.