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Finding the Third Proportional to 349,896 and 557,023.50

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Solution

The third proportional to 349,896 and 557,023.50 is: 886,764.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,896 : 557,023.50 = 557,023.50 : x
  2. Step 2: Convert to fraction form
    349,896/557,023.50 = 557,023.50/x
  3. Step 3: Cross multiply
    349,896x = 557,023.50 × 557,023.50
  4. Step 4: Simplify right side
    349,896x = 310,275,179,552.25
  5. Step 5: Solve for x
    x = 310,275,179,552.25/349,896
  6. Step 6: Final answer
    x = 886,764.01

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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.