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Finding the Third Proportional to 328,927 and 492,052

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Solution

The third proportional to 328,927 and 492,052 is: 736,075.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,927 : 492,052 = 492,052 : x
  2. Step 2: Convert to fraction form
    328,927/492,052 = 492,052/x
  3. Step 3: Cross multiply
    328,927x = 492,052 × 492,052
  4. Step 4: Simplify right side
    328,927x = 242,115,170,704
  5. Step 5: Solve for x
    x = 242,115,170,704/328,927
  6. Step 6: Final answer
    x = 736,075.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.