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Finding the Third Proportional to 435,982 and 591,764

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Solution

The third proportional to 435,982 and 591,764 is: 803,208.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,982 : 591,764 = 591,764 : x
  2. Step 2: Convert to fraction form
    435,982/591,764 = 591,764/x
  3. Step 3: Cross multiply
    435,982x = 591,764 × 591,764
  4. Step 4: Simplify right side
    435,982x = 350,184,631,696
  5. Step 5: Solve for x
    x = 350,184,631,696/435,982
  6. Step 6: Final answer
    x = 803,208.92

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.