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Finding the Third Proportional to 397,369.13 and 849,271.50

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Solution

The third proportional to 397,369.13 and 849,271.50 is: 1,815,093.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,369.13 : 849,271.50 = 849,271.50 : x
  2. Step 2: Convert to fraction form
    397,369.13/849,271.50 = 849,271.50/x
  3. Step 3: Cross multiply
    397,369.13x = 849,271.50 × 849,271.50
  4. Step 4: Simplify right side
    397,369.13x = 721,262,080,712.25
  5. Step 5: Solve for x
    x = 721,262,080,712.25/397,369.13
  6. Step 6: Final answer
    x = 1,815,093.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.