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Finding the Third Proportional to 229,083 and 492,066

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Solution

The third proportional to 229,083 and 492,066 is: 1,056,948.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,083 : 492,066 = 492,066 : x
  2. Step 2: Convert to fraction form
    229,083/492,066 = 492,066/x
  3. Step 3: Cross multiply
    229,083x = 492,066 × 492,066
  4. Step 4: Simplify right side
    229,083x = 242,128,948,356
  5. Step 5: Solve for x
    x = 242,128,948,356/229,083
  6. Step 6: Final answer
    x = 1,056,948.57

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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.