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Finding the Third Proportional to 340,284 and 476,842.50

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Solution

The third proportional to 340,284 and 476,842.50 is: 668,202.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,284 : 476,842.50 = 476,842.50 : x
  2. Step 2: Convert to fraction form
    340,284/476,842.50 = 476,842.50/x
  3. Step 3: Cross multiply
    340,284x = 476,842.50 × 476,842.50
  4. Step 4: Simplify right side
    340,284x = 227,378,769,806.25
  5. Step 5: Solve for x
    x = 227,378,769,806.25/340,284
  6. Step 6: Final answer
    x = 668,202.94

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.