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Finding the Third Proportional to 398,640 and 617,886

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Solution

The third proportional to 398,640 and 617,886 is: 957,714.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,640 : 617,886 = 617,886 : x
  2. Step 2: Convert to fraction form
    398,640/617,886 = 617,886/x
  3. Step 3: Cross multiply
    398,640x = 617,886 × 617,886
  4. Step 4: Simplify right side
    398,640x = 381,783,108,996
  5. Step 5: Solve for x
    x = 381,783,108,996/398,640
  6. Step 6: Final answer
    x = 957,714.00

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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.