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Finding the Third Proportional to 492,963.38 and 761,208.75

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Solution

The third proportional to 492,963.38 and 761,208.75 is: 1,175,419.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,963.38 : 761,208.75 = 761,208.75 : x
  2. Step 2: Convert to fraction form
    492,963.38/761,208.75 = 761,208.75/x
  3. Step 3: Cross multiply
    492,963.38x = 761,208.75 × 761,208.75
  4. Step 4: Simplify right side
    492,963.38x = 579,438,761,076.56
  5. Step 5: Solve for x
    x = 579,438,761,076.56/492,963.38
  6. Step 6: Final answer
    x = 1,175,419.49

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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.