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Finding the Third Proportional to 480,042.50 and 773,267.50

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Solution

The third proportional to 480,042.50 and 773,267.50 is: 1,245,603.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,042.50 : 773,267.50 = 773,267.50 : x
  2. Step 2: Convert to fraction form
    480,042.50/773,267.50 = 773,267.50/x
  3. Step 3: Cross multiply
    480,042.50x = 773,267.50 × 773,267.50
  4. Step 4: Simplify right side
    480,042.50x = 597,942,626,556.25
  5. Step 5: Solve for x
    x = 597,942,626,556.25/480,042.50
  6. Step 6: Final answer
    x = 1,245,603.52

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.