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Finding the Third Proportional to 492,886 and 742,833

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Solution

The third proportional to 492,886 and 742,833 is: 1,119,530.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,886 : 742,833 = 742,833 : x
  2. Step 2: Convert to fraction form
    492,886/742,833 = 742,833/x
  3. Step 3: Cross multiply
    492,886x = 742,833 × 742,833
  4. Step 4: Simplify right side
    492,886x = 551,800,865,889
  5. Step 5: Solve for x
    x = 551,800,865,889/492,886
  6. Step 6: Final answer
    x = 1,119,530.41

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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.