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Finding the Third Proportional to 362,566.50 and 777,603

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Solution

The third proportional to 362,566.50 and 777,603 is: 1,667,739.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,566.50 : 777,603 = 777,603 : x
  2. Step 2: Convert to fraction form
    362,566.50/777,603 = 777,603/x
  3. Step 3: Cross multiply
    362,566.50x = 777,603 × 777,603
  4. Step 4: Simplify right side
    362,566.50x = 604,666,425,609
  5. Step 5: Solve for x
    x = 604,666,425,609/362,566.50
  6. Step 6: Final answer
    x = 1,667,739.37

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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.