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Finding the Third Proportional to 253,602 and 377,973

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Solution

The third proportional to 253,602 and 377,973 is: 563,337.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,602 : 377,973 = 377,973 : x
  2. Step 2: Convert to fraction form
    253,602/377,973 = 377,973/x
  3. Step 3: Cross multiply
    253,602x = 377,973 × 377,973
  4. Step 4: Simplify right side
    253,602x = 142,863,588,729
  5. Step 5: Solve for x
    x = 142,863,588,729/253,602
  6. Step 6: Final answer
    x = 563,337.78

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.