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Finding the Third Proportional to 328,050.21 and 492,075.42

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Solution

The third proportional to 328,050.21 and 492,075.42 is: 738,113.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,050.21 : 492,075.42 = 492,075.42 : x
  2. Step 2: Convert to fraction form
    328,050.21/492,075.42 = 492,075.42/x
  3. Step 3: Cross multiply
    328,050.21x = 492,075.42 × 492,075.42
  4. Step 4: Simplify right side
    328,050.21x = 242,138,220,813.46
  5. Step 5: Solve for x
    x = 242,138,220,813.46/328,050.21
  6. Step 6: Final answer
    x = 738,113.29

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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.