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Finding the Third Proportional to 299,140 and 475,682.50

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Solution

The third proportional to 299,140 and 475,682.50 is: 756,414.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,140 : 475,682.50 = 475,682.50 : x
  2. Step 2: Convert to fraction form
    299,140/475,682.50 = 475,682.50/x
  3. Step 3: Cross multiply
    299,140x = 475,682.50 × 475,682.50
  4. Step 4: Simplify right side
    299,140x = 226,273,840,806.25
  5. Step 5: Solve for x
    x = 226,273,840,806.25/299,140
  6. Step 6: Final answer
    x = 756,414.52

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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.