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Finding the Third Proportional to 341,285 and 742,747

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Solution

The third proportional to 341,285 and 742,747 is: 1,616,458.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,285 : 742,747 = 742,747 : x
  2. Step 2: Convert to fraction form
    341,285/742,747 = 742,747/x
  3. Step 3: Cross multiply
    341,285x = 742,747 × 742,747
  4. Step 4: Simplify right side
    341,285x = 551,673,106,009
  5. Step 5: Solve for x
    x = 551,673,106,009/341,285
  6. Step 6: Final answer
    x = 1,616,458.70

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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.