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Finding the Third Proportional to 442,821.94 and 704,959.88

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Solution

The third proportional to 442,821.94 and 704,959.88 is: 1,122,275.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,821.94 : 704,959.88 = 704,959.88 : x
  2. Step 2: Convert to fraction form
    442,821.94/704,959.88 = 704,959.88/x
  3. Step 3: Cross multiply
    442,821.94x = 704,959.88 × 704,959.88
  4. Step 4: Simplify right side
    442,821.94x = 496,968,425,360.02
  5. Step 5: Solve for x
    x = 496,968,425,360.02/442,821.94
  6. Step 6: Final answer
    x = 1,122,275.98

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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.