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Finding the Third Proportional to 341,364 and 742,922

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Solution

The third proportional to 341,364 and 742,922 is: 1,616,846.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,364 : 742,922 = 742,922 : x
  2. Step 2: Convert to fraction form
    341,364/742,922 = 742,922/x
  3. Step 3: Cross multiply
    341,364x = 742,922 × 742,922
  4. Step 4: Simplify right side
    341,364x = 551,933,098,084
  5. Step 5: Solve for x
    x = 551,933,098,084/341,364
  6. Step 6: Final answer
    x = 1,616,846.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.