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Finding the Third Proportional to 362,140 and 563,916

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Solution

The third proportional to 362,140 and 563,916 is: 878,116.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,140 : 563,916 = 563,916 : x
  2. Step 2: Convert to fraction form
    362,140/563,916 = 563,916/x
  3. Step 3: Cross multiply
    362,140x = 563,916 × 563,916
  4. Step 4: Simplify right side
    362,140x = 318,001,255,056
  5. Step 5: Solve for x
    x = 318,001,255,056/362,140
  6. Step 6: Final answer
    x = 878,116.90

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.