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Finding the Third Proportional to 273,888 and 592,704

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Solution

The third proportional to 273,888 and 592,704 is: 1,282,633.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,888 : 592,704 = 592,704 : x
  2. Step 2: Convert to fraction form
    273,888/592,704 = 592,704/x
  3. Step 3: Cross multiply
    273,888x = 592,704 × 592,704
  4. Step 4: Simplify right side
    273,888x = 351,298,031,616
  5. Step 5: Solve for x
    x = 351,298,031,616/273,888
  6. Step 6: Final answer
    x = 1,282,633.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.