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Finding the Third Proportional to 229,448 and 492,111

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Solution

The third proportional to 229,448 and 492,111 is: 1,055,460.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,448 : 492,111 = 492,111 : x
  2. Step 2: Convert to fraction form
    229,448/492,111 = 492,111/x
  3. Step 3: Cross multiply
    229,448x = 492,111 × 492,111
  4. Step 4: Simplify right side
    229,448x = 242,173,236,321
  5. Step 5: Solve for x
    x = 242,173,236,321/229,448
  6. Step 6: Final answer
    x = 1,055,460.22

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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.