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Finding the Third Proportional to 442,835 and 704,978

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Solution

The third proportional to 442,835 and 704,978 is: 1,122,300.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,835 : 704,978 = 704,978 : x
  2. Step 2: Convert to fraction form
    442,835/704,978 = 704,978/x
  3. Step 3: Cross multiply
    442,835x = 704,978 × 704,978
  4. Step 4: Simplify right side
    442,835x = 496,993,980,484
  5. Step 5: Solve for x
    x = 496,993,980,484/442,835
  6. Step 6: Final answer
    x = 1,122,300.59

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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.