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Finding the Third Proportional to 453,699 and 670,198.50

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Solution

The third proportional to 453,699 and 670,198.50 is: 990,008.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,699 : 670,198.50 = 670,198.50 : x
  2. Step 2: Convert to fraction form
    453,699/670,198.50 = 670,198.50/x
  3. Step 3: Cross multiply
    453,699x = 670,198.50 × 670,198.50
  4. Step 4: Simplify right side
    453,699x = 449,166,029,402.25
  5. Step 5: Solve for x
    x = 449,166,029,402.25/453,699
  6. Step 6: Final answer
    x = 990,008.86

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.