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Finding the Third Proportional to 341,640 and 548,896

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Solution

The third proportional to 341,640 and 548,896 is: 881,883.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,640 : 548,896 = 548,896 : x
  2. Step 2: Convert to fraction form
    341,640/548,896 = 548,896/x
  3. Step 3: Cross multiply
    341,640x = 548,896 × 548,896
  4. Step 4: Simplify right side
    341,640x = 301,286,818,816
  5. Step 5: Solve for x
    x = 301,286,818,816/341,640
  6. Step 6: Final answer
    x = 881,883.91

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.