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Finding the Third Proportional to 227,746.13 and 498,394.69

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Solution

The third proportional to 227,746.13 and 498,394.69 is: 1,090,676.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,746.13 : 498,394.69 = 498,394.69 : x
  2. Step 2: Convert to fraction form
    227,746.13/498,394.69 = 498,394.69/x
  3. Step 3: Cross multiply
    227,746.13x = 498,394.69 × 498,394.69
  4. Step 4: Simplify right side
    227,746.13x = 248,397,264,528.22
  5. Step 5: Solve for x
    x = 248,397,264,528.22/227,746.13
  6. Step 6: Final answer
    x = 1,090,676.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.