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Finding the Third Proportional to 362,012 and 780,127

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Solution

The third proportional to 362,012 and 780,127 is: 1,681,154.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,012 : 780,127 = 780,127 : x
  2. Step 2: Convert to fraction form
    362,012/780,127 = 780,127/x
  3. Step 3: Cross multiply
    362,012x = 780,127 × 780,127
  4. Step 4: Simplify right side
    362,012x = 608,598,136,129
  5. Step 5: Solve for x
    x = 608,598,136,129/362,012
  6. Step 6: Final answer
    x = 1,681,154.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.