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Finding the Third Proportional to 492,963 and 761,181

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Solution

The third proportional to 492,963 and 761,181 is: 1,175,334.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,963 : 761,181 = 761,181 : x
  2. Step 2: Convert to fraction form
    492,963/761,181 = 761,181/x
  3. Step 3: Cross multiply
    492,963x = 761,181 × 761,181
  4. Step 4: Simplify right side
    492,963x = 579,396,514,761
  5. Step 5: Solve for x
    x = 579,396,514,761/492,963
  6. Step 6: Final answer
    x = 1,175,334.69

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.