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Finding the Third Proportional to 362,561.63 and 777,584.25

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Solution

The third proportional to 362,561.63 and 777,584.25 is: 1,667,681.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,561.63 : 777,584.25 = 777,584.25 : x
  2. Step 2: Convert to fraction form
    362,561.63/777,584.25 = 777,584.25/x
  3. Step 3: Cross multiply
    362,561.63x = 777,584.25 × 777,584.25
  4. Step 4: Simplify right side
    362,561.63x = 604,637,265,848.06
  5. Step 5: Solve for x
    x = 604,637,265,848.06/362,561.63
  6. Step 6: Final answer
    x = 1,667,681.37

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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.