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Finding the Third Proportional to 229,089 and 492,081

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Solution

The third proportional to 229,089 and 492,081 is: 1,056,985.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,089 : 492,081 = 492,081 : x
  2. Step 2: Convert to fraction form
    229,089/492,081 = 492,081/x
  3. Step 3: Cross multiply
    229,089x = 492,081 × 492,081
  4. Step 4: Simplify right side
    229,089x = 242,143,710,561
  5. Step 5: Solve for x
    x = 242,143,710,561/229,089
  6. Step 6: Final answer
    x = 1,056,985.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.