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Finding the Third Proportional to 442,842 and 704,988

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Solution

The third proportional to 442,842 and 704,988 is: 1,122,314.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,842 : 704,988 = 704,988 : x
  2. Step 2: Convert to fraction form
    442,842/704,988 = 704,988/x
  3. Step 3: Cross multiply
    442,842x = 704,988 × 704,988
  4. Step 4: Simplify right side
    442,842x = 497,008,080,144
  5. Step 5: Solve for x
    x = 497,008,080,144/442,842
  6. Step 6: Final answer
    x = 1,122,314.69

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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.