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Finding the Third Proportional to 319,888 and 740,542

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Solution

The third proportional to 319,888 and 740,542 is: 1,714,357.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,888 : 740,542 = 740,542 : x
  2. Step 2: Convert to fraction form
    319,888/740,542 = 740,542/x
  3. Step 3: Cross multiply
    319,888x = 740,542 × 740,542
  4. Step 4: Simplify right side
    319,888x = 548,402,453,764
  5. Step 5: Solve for x
    x = 548,402,453,764/319,888
  6. Step 6: Final answer
    x = 1,714,357.69

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.