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Finding the Third Proportional to 341,283 and 742,743

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Solution

The third proportional to 341,283 and 742,743 is: 1,616,450.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,283 : 742,743 = 742,743 : x
  2. Step 2: Convert to fraction form
    341,283/742,743 = 742,743/x
  3. Step 3: Cross multiply
    341,283x = 742,743 × 742,743
  4. Step 4: Simplify right side
    341,283x = 551,667,164,049
  5. Step 5: Solve for x
    x = 551,667,164,049/341,283
  6. Step 6: Final answer
    x = 1,616,450.76

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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.