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Finding the Third Proportional to 442,830 and 704,971

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Solution

The third proportional to 442,830 and 704,971 is: 1,122,290.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,830 : 704,971 = 704,971 : x
  2. Step 2: Convert to fraction form
    442,830/704,971 = 704,971/x
  3. Step 3: Cross multiply
    442,830x = 704,971 × 704,971
  4. Step 4: Simplify right side
    442,830x = 496,984,110,841
  5. Step 5: Solve for x
    x = 496,984,110,841/442,830
  6. Step 6: Final answer
    x = 1,122,290.97

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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.