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Finding the Third Proportional to 364,116 and 742,690

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Solution

The third proportional to 364,116 and 742,690 is: 1,514,870.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,116 : 742,690 = 742,690 : x
  2. Step 2: Convert to fraction form
    364,116/742,690 = 742,690/x
  3. Step 3: Cross multiply
    364,116x = 742,690 × 742,690
  4. Step 4: Simplify right side
    364,116x = 551,588,436,100
  5. Step 5: Solve for x
    x = 551,588,436,100/364,116
  6. Step 6: Final answer
    x = 1,514,870.09

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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.