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Finding the Third Proportional to 364,196 and 742,837

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Solution

The third proportional to 364,196 and 742,837 is: 1,515,136.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,196 : 742,837 = 742,837 : x
  2. Step 2: Convert to fraction form
    364,196/742,837 = 742,837/x
  3. Step 3: Cross multiply
    364,196x = 742,837 × 742,837
  4. Step 4: Simplify right side
    364,196x = 551,806,808,569
  5. Step 5: Solve for x
    x = 551,806,808,569/364,196
  6. Step 6: Final answer
    x = 1,515,136.93

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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.