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Finding the Third Proportional to 362,216 and 791,752

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Solution

The third proportional to 362,216 and 791,752 is: 1,730,655.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,216 : 791,752 = 791,752 : x
  2. Step 2: Convert to fraction form
    362,216/791,752 = 791,752/x
  3. Step 3: Cross multiply
    362,216x = 791,752 × 791,752
  4. Step 4: Simplify right side
    362,216x = 626,871,229,504
  5. Step 5: Solve for x
    x = 626,871,229,504/362,216
  6. Step 6: Final answer
    x = 1,730,655.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.