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Finding the Third Proportional to 263,994 and 433,386

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Solution

The third proportional to 263,994 and 433,386 is: 711,468.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,994 : 433,386 = 433,386 : x
  2. Step 2: Convert to fraction form
    263,994/433,386 = 433,386/x
  3. Step 3: Cross multiply
    263,994x = 433,386 × 433,386
  4. Step 4: Simplify right side
    263,994x = 187,823,424,996
  5. Step 5: Solve for x
    x = 187,823,424,996/263,994
  6. Step 6: Final answer
    x = 711,468.54

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.