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Finding the Third Proportional to 229,779 and 502,164

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Solution

The third proportional to 229,779 and 502,164 is: 1,097,440.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,779 : 502,164 = 502,164 : x
  2. Step 2: Convert to fraction form
    229,779/502,164 = 502,164/x
  3. Step 3: Cross multiply
    229,779x = 502,164 × 502,164
  4. Step 4: Simplify right side
    229,779x = 252,168,682,896
  5. Step 5: Solve for x
    x = 252,168,682,896/229,779
  6. Step 6: Final answer
    x = 1,097,440.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.