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Finding the Third Proportional to 393,075 and 623,421

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Solution

The third proportional to 393,075 and 623,421 is: 988,752.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,075 : 623,421 = 623,421 : x
  2. Step 2: Convert to fraction form
    393,075/623,421 = 623,421/x
  3. Step 3: Cross multiply
    393,075x = 623,421 × 623,421
  4. Step 4: Simplify right side
    393,075x = 388,653,743,241
  5. Step 5: Solve for x
    x = 388,653,743,241/393,075
  6. Step 6: Final answer
    x = 988,752.13

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.