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Finding the Third Proportional to 362,064 and 772,206

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Solution

The third proportional to 362,064 and 772,206 is: 1,646,952.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,064 : 772,206 = 772,206 : x
  2. Step 2: Convert to fraction form
    362,064/772,206 = 772,206/x
  3. Step 3: Cross multiply
    362,064x = 772,206 × 772,206
  4. Step 4: Simplify right side
    362,064x = 596,302,106,436
  5. Step 5: Solve for x
    x = 596,302,106,436/362,064
  6. Step 6: Final answer
    x = 1,646,952.21

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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.