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Finding the Third Proportional to 492,894 and 742,845

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Solution

The third proportional to 492,894 and 742,845 is: 1,119,548.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,894 : 742,845 = 742,845 : x
  2. Step 2: Convert to fraction form
    492,894/742,845 = 742,845/x
  3. Step 3: Cross multiply
    492,894x = 742,845 × 742,845
  4. Step 4: Simplify right side
    492,894x = 551,818,694,025
  5. Step 5: Solve for x
    x = 551,818,694,025/492,894
  6. Step 6: Final answer
    x = 1,119,548.41

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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.