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Finding the Third Proportional to 535,379.25 and 734,106.38

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Solution

The third proportional to 535,379.25 and 734,106.38 is: 1,006,598.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,379.25 : 734,106.38 = 734,106.38 : x
  2. Step 2: Convert to fraction form
    535,379.25/734,106.38 = 734,106.38/x
  3. Step 3: Cross multiply
    535,379.25x = 734,106.38 × 734,106.38
  4. Step 4: Simplify right side
    535,379.25x = 538,912,169,815.64
  5. Step 5: Solve for x
    x = 538,912,169,815.64/535,379.25
  6. Step 6: Final answer
    x = 1,006,598.91

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.