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Finding the Third Proportional to 493,219.13 and 739,828.13

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Solution

The third proportional to 493,219.13 and 739,828.13 is: 1,109,741.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,219.13 : 739,828.13 = 739,828.13 : x
  2. Step 2: Convert to fraction form
    493,219.13/739,828.13 = 739,828.13/x
  3. Step 3: Cross multiply
    493,219.13x = 739,828.13 × 739,828.13
  4. Step 4: Simplify right side
    493,219.13x = 547,345,654,541.02
  5. Step 5: Solve for x
    x = 547,345,654,541.02/493,219.13
  6. Step 6: Final answer
    x = 1,109,741.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.