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Finding the Third Proportional to 229,316 and 474,828

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Solution

The third proportional to 229,316 and 474,828 is: 983,191.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,316 : 474,828 = 474,828 : x
  2. Step 2: Convert to fraction form
    229,316/474,828 = 474,828/x
  3. Step 3: Cross multiply
    229,316x = 474,828 × 474,828
  4. Step 4: Simplify right side
    229,316x = 225,461,629,584
  5. Step 5: Solve for x
    x = 225,461,629,584/229,316
  6. Step 6: Final answer
    x = 983,191.88

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.