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Finding the Third Proportional to 489,865 and 742,181

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Solution

The third proportional to 489,865 and 742,181 is: 1,124,458.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,865 : 742,181 = 742,181 : x
  2. Step 2: Convert to fraction form
    489,865/742,181 = 742,181/x
  3. Step 3: Cross multiply
    489,865x = 742,181 × 742,181
  4. Step 4: Simplify right side
    489,865x = 550,832,636,761
  5. Step 5: Solve for x
    x = 550,832,636,761/489,865
  6. Step 6: Final answer
    x = 1,124,458.04

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.