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Finding the Third Proportional to 584,491.50 and 1,214,907.75

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Solution

The third proportional to 584,491.50 and 1,214,907.75 is: 2,525,273.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,491.50 : 1,214,907.75 = 1,214,907.75 : x
  2. Step 2: Convert to fraction form
    584,491.50/1,214,907.75 = 1,214,907.75/x
  3. Step 3: Cross multiply
    584,491.50x = 1,214,907.75 × 1,214,907.75
  4. Step 4: Simplify right side
    584,491.50x = 1,476,000,841,010.06
  5. Step 5: Solve for x
    x = 1,476,000,841,010.06/584,491.50
  6. Step 6: Final answer
    x = 2,525,273.41

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.