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Finding the Third Proportional to 362,639 and 775,174

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Solution

The third proportional to 362,639 and 775,174 is: 1,657,005.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,639 : 775,174 = 775,174 : x
  2. Step 2: Convert to fraction form
    362,639/775,174 = 775,174/x
  3. Step 3: Cross multiply
    362,639x = 775,174 × 775,174
  4. Step 4: Simplify right side
    362,639x = 600,894,730,276
  5. Step 5: Solve for x
    x = 600,894,730,276/362,639
  6. Step 6: Final answer
    x = 1,657,005.26

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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.