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Finding the Third Proportional to 304,094 and 704,723

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Solution

The third proportional to 304,094 and 704,723 is: 1,633,161.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,094 : 704,723 = 704,723 : x
  2. Step 2: Convert to fraction form
    304,094/704,723 = 704,723/x
  3. Step 3: Cross multiply
    304,094x = 704,723 × 704,723
  4. Step 4: Simplify right side
    304,094x = 496,634,506,729
  5. Step 5: Solve for x
    x = 496,634,506,729/304,094
  6. Step 6: Final answer
    x = 1,633,161.15

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.