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Finding the Third Proportional to 364,176 and 742,797

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Solution

The third proportional to 364,176 and 742,797 is: 1,515,056.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,176 : 742,797 = 742,797 : x
  2. Step 2: Convert to fraction form
    364,176/742,797 = 742,797/x
  3. Step 3: Cross multiply
    364,176x = 742,797 × 742,797
  4. Step 4: Simplify right side
    364,176x = 551,747,383,209
  5. Step 5: Solve for x
    x = 551,747,383,209/364,176
  6. Step 6: Final answer
    x = 1,515,056.96

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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.