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Finding the Third Proportional to 319,824 and 740,484

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Solution

The third proportional to 319,824 and 740,484 is: 1,714,432.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,824 : 740,484 = 740,484 : x
  2. Step 2: Convert to fraction form
    319,824/740,484 = 740,484/x
  3. Step 3: Cross multiply
    319,824x = 740,484 × 740,484
  4. Step 4: Simplify right side
    319,824x = 548,316,554,256
  5. Step 5: Solve for x
    x = 548,316,554,256/319,824
  6. Step 6: Final answer
    x = 1,714,432.17

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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.