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Finding the Third Proportional to 362,570 and 777,610

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Solution

The third proportional to 362,570 and 777,610 is: 1,667,753.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,570 : 777,610 = 777,610 : x
  2. Step 2: Convert to fraction form
    362,570/777,610 = 777,610/x
  3. Step 3: Cross multiply
    362,570x = 777,610 × 777,610
  4. Step 4: Simplify right side
    362,570x = 604,677,312,100
  5. Step 5: Solve for x
    x = 604,677,312,100/362,570
  6. Step 6: Final answer
    x = 1,667,753.29

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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.