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Finding the Third Proportional to 364,204 and 742,853

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Solution

The third proportional to 364,204 and 742,853 is: 1,515,168.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,204 : 742,853 = 742,853 : x
  2. Step 2: Convert to fraction form
    364,204/742,853 = 742,853/x
  3. Step 3: Cross multiply
    364,204x = 742,853 × 742,853
  4. Step 4: Simplify right side
    364,204x = 551,830,579,609
  5. Step 5: Solve for x
    x = 551,830,579,609/364,204
  6. Step 6: Final answer
    x = 1,515,168.92

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.