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Finding the Third Proportional to 229,411 and 492,047

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Solution

The third proportional to 229,411 and 492,047 is: 1,055,355.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,411 : 492,047 = 492,047 : x
  2. Step 2: Convert to fraction form
    229,411/492,047 = 492,047/x
  3. Step 3: Cross multiply
    229,411x = 492,047 × 492,047
  4. Step 4: Simplify right side
    229,411x = 242,110,250,209
  5. Step 5: Solve for x
    x = 242,110,250,209/229,411
  6. Step 6: Final answer
    x = 1,055,355.89

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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.