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Finding the Third Proportional to 361,602.50 and 777,623

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Solution

The third proportional to 361,602.50 and 777,623 is: 1,672,271.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,602.50 : 777,623 = 777,623 : x
  2. Step 2: Convert to fraction form
    361,602.50/777,623 = 777,623/x
  3. Step 3: Cross multiply
    361,602.50x = 777,623 × 777,623
  4. Step 4: Simplify right side
    361,602.50x = 604,697,530,129
  5. Step 5: Solve for x
    x = 604,697,530,129/361,602.50
  6. Step 6: Final answer
    x = 1,672,271.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.