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Finding the Third Proportional to 319,913 and 740,604

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Solution

The third proportional to 319,913 and 740,604 is: 1,714,510.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,913 : 740,604 = 740,604 : x
  2. Step 2: Convert to fraction form
    319,913/740,604 = 740,604/x
  3. Step 3: Cross multiply
    319,913x = 740,604 × 740,604
  4. Step 4: Simplify right side
    319,913x = 548,494,284,816
  5. Step 5: Solve for x
    x = 548,494,284,816/319,913
  6. Step 6: Final answer
    x = 1,714,510.77

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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.