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Finding the Third Proportional to 319,920 and 740,632

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Solution

The third proportional to 319,920 and 740,632 is: 1,714,602.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,920 : 740,632 = 740,632 : x
  2. Step 2: Convert to fraction form
    319,920/740,632 = 740,632/x
  3. Step 3: Cross multiply
    319,920x = 740,632 × 740,632
  4. Step 4: Simplify right side
    319,920x = 548,535,759,424
  5. Step 5: Solve for x
    x = 548,535,759,424/319,920
  6. Step 6: Final answer
    x = 1,714,602.90

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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.