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Finding the Third Proportional to 442,800 and 704,926.13

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Solution

The third proportional to 442,800 and 704,926.13 is: 1,122,224.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,800 : 704,926.13 = 704,926.13 : x
  2. Step 2: Convert to fraction form
    442,800/704,926.13 = 704,926.13/x
  3. Step 3: Cross multiply
    442,800x = 704,926.13 × 704,926.13
  4. Step 4: Simplify right side
    442,800x = 496,920,841,707.52
  5. Step 5: Solve for x
    x = 496,920,841,707.52/442,800
  6. Step 6: Final answer
    x = 1,122,224.12

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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.