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Finding the Third Proportional to 434,891.50 and 882,011

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Solution

The third proportional to 434,891.50 and 882,011 is: 1,788,821.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,891.50 : 882,011 = 882,011 : x
  2. Step 2: Convert to fraction form
    434,891.50/882,011 = 882,011/x
  3. Step 3: Cross multiply
    434,891.50x = 882,011 × 882,011
  4. Step 4: Simplify right side
    434,891.50x = 777,943,404,121
  5. Step 5: Solve for x
    x = 777,943,404,121/434,891.50
  6. Step 6: Final answer
    x = 1,788,821.82

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.