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Finding the Third Proportional to 366,263.25 and 760,597.50

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Solution

The third proportional to 366,263.25 and 760,597.50 is: 1,579,488.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,263.25 : 760,597.50 = 760,597.50 : x
  2. Step 2: Convert to fraction form
    366,263.25/760,597.50 = 760,597.50/x
  3. Step 3: Cross multiply
    366,263.25x = 760,597.50 × 760,597.50
  4. Step 4: Simplify right side
    366,263.25x = 578,508,557,006.25
  5. Step 5: Solve for x
    x = 578,508,557,006.25/366,263.25
  6. Step 6: Final answer
    x = 1,579,488.41

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.