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Finding the Third Proportional to 453,429 and 989,749.50

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Solution

The third proportional to 453,429 and 989,749.50 is: 2,160,435.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,429 : 989,749.50 = 989,749.50 : x
  2. Step 2: Convert to fraction form
    453,429/989,749.50 = 989,749.50/x
  3. Step 3: Cross multiply
    453,429x = 989,749.50 × 989,749.50
  4. Step 4: Simplify right side
    453,429x = 979,604,072,750.25
  5. Step 5: Solve for x
    x = 979,604,072,750.25/453,429
  6. Step 6: Final answer
    x = 2,160,435.42

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.