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Finding the Third Proportional to 233,594 and 483,780

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Solution

The third proportional to 233,594 and 483,780 is: 1,001,922.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,594 : 483,780 = 483,780 : x
  2. Step 2: Convert to fraction form
    233,594/483,780 = 483,780/x
  3. Step 3: Cross multiply
    233,594x = 483,780 × 483,780
  4. Step 4: Simplify right side
    233,594x = 234,043,088,400
  5. Step 5: Solve for x
    x = 234,043,088,400/233,594
  6. Step 6: Final answer
    x = 1,001,922.52

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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.