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Finding the Third Proportional to 492,628 and 742,467

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Solution

The third proportional to 492,628 and 742,467 is: 1,119,013.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,628 : 742,467 = 742,467 : x
  2. Step 2: Convert to fraction form
    492,628/742,467 = 742,467/x
  3. Step 3: Cross multiply
    492,628x = 742,467 × 742,467
  4. Step 4: Simplify right side
    492,628x = 551,257,246,089
  5. Step 5: Solve for x
    x = 551,257,246,089/492,628
  6. Step 6: Final answer
    x = 1,119,013.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.