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Finding the Third Proportional to 233,548 and 483,704

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Solution

The third proportional to 233,548 and 483,704 is: 1,001,805.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,548 : 483,704 = 483,704 : x
  2. Step 2: Convert to fraction form
    233,548/483,704 = 483,704/x
  3. Step 3: Cross multiply
    233,548x = 483,704 × 483,704
  4. Step 4: Simplify right side
    233,548x = 233,969,559,616
  5. Step 5: Solve for x
    x = 233,969,559,616/233,548
  6. Step 6: Final answer
    x = 1,001,805.02

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.