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Finding the Third Proportional to 368,868 and 585,558

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Solution

The third proportional to 368,868 and 585,558 is: 929,541.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,868 : 585,558 = 585,558 : x
  2. Step 2: Convert to fraction form
    368,868/585,558 = 585,558/x
  3. Step 3: Cross multiply
    368,868x = 585,558 × 585,558
  4. Step 4: Simplify right side
    368,868x = 342,878,171,364
  5. Step 5: Solve for x
    x = 342,878,171,364/368,868
  6. Step 6: Final answer
    x = 929,541.66

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.