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Finding the Third Proportional to 274,051 and 597,773

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Solution

The third proportional to 274,051 and 597,773 is: 1,303,890.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,051 : 597,773 = 597,773 : x
  2. Step 2: Convert to fraction form
    274,051/597,773 = 597,773/x
  3. Step 3: Cross multiply
    274,051x = 597,773 × 597,773
  4. Step 4: Simplify right side
    274,051x = 357,332,559,529
  5. Step 5: Solve for x
    x = 357,332,559,529/274,051
  6. Step 6: Final answer
    x = 1,303,890.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.