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Finding the Third Proportional to 274,888 and 596,424

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Solution

The third proportional to 274,888 and 596,424 is: 1,294,060.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,888 : 596,424 = 596,424 : x
  2. Step 2: Convert to fraction form
    274,888/596,424 = 596,424/x
  3. Step 3: Cross multiply
    274,888x = 596,424 × 596,424
  4. Step 4: Simplify right side
    274,888x = 355,721,587,776
  5. Step 5: Solve for x
    x = 355,721,587,776/274,888
  6. Step 6: Final answer
    x = 1,294,060.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.