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Finding the Third Proportional to 229,445 and 492,103

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Solution

The third proportional to 229,445 and 492,103 is: 1,055,439.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,445 : 492,103 = 492,103 : x
  2. Step 2: Convert to fraction form
    229,445/492,103 = 492,103/x
  3. Step 3: Cross multiply
    229,445x = 492,103 × 492,103
  4. Step 4: Simplify right side
    229,445x = 242,165,362,609
  5. Step 5: Solve for x
    x = 242,165,362,609/229,445
  6. Step 6: Final answer
    x = 1,055,439.70

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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.