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Finding the Third Proportional to 421,075.50 and 647,232

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Solution

The third proportional to 421,075.50 and 647,232 is: 994,855.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,075.50 : 647,232 = 647,232 : x
  2. Step 2: Convert to fraction form
    421,075.50/647,232 = 647,232/x
  3. Step 3: Cross multiply
    421,075.50x = 647,232 × 647,232
  4. Step 4: Simplify right side
    421,075.50x = 418,909,261,824
  5. Step 5: Solve for x
    x = 418,909,261,824/421,075.50
  6. Step 6: Final answer
    x = 994,855.46

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.