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Finding the Third Proportional to 368,397 and 570,579

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Solution

The third proportional to 368,397 and 570,579 is: 883,721.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,397 : 570,579 = 570,579 : x
  2. Step 2: Convert to fraction form
    368,397/570,579 = 570,579/x
  3. Step 3: Cross multiply
    368,397x = 570,579 × 570,579
  4. Step 4: Simplify right side
    368,397x = 325,560,395,241
  5. Step 5: Solve for x
    x = 325,560,395,241/368,397
  6. Step 6: Final answer
    x = 883,721.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.