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Finding the Third Proportional to 349,179 and 557,896.50

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Solution

The third proportional to 349,179 and 557,896.50 is: 891,372.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,179 : 557,896.50 = 557,896.50 : x
  2. Step 2: Convert to fraction form
    349,179/557,896.50 = 557,896.50/x
  3. Step 3: Cross multiply
    349,179x = 557,896.50 × 557,896.50
  4. Step 4: Simplify right side
    349,179x = 311,248,504,712.25
  5. Step 5: Solve for x
    x = 311,248,504,712.25/349,179
  6. Step 6: Final answer
    x = 891,372.35

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.