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Finding the Third Proportional to 362,040 and 772,164

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Solution

The third proportional to 362,040 and 772,164 is: 1,646,882.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,040 : 772,164 = 772,164 : x
  2. Step 2: Convert to fraction form
    362,040/772,164 = 772,164/x
  3. Step 3: Cross multiply
    362,040x = 772,164 × 772,164
  4. Step 4: Simplify right side
    362,040x = 596,237,242,896
  5. Step 5: Solve for x
    x = 596,237,242,896/362,040
  6. Step 6: Final answer
    x = 1,646,882.23

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.