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Finding the Third Proportional to 229,258.69 and 502,804.13

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Solution

The third proportional to 229,258.69 and 502,804.13 is: 1,102,736.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,258.69 : 502,804.13 = 502,804.13 : x
  2. Step 2: Convert to fraction form
    229,258.69/502,804.13 = 502,804.13/x
  3. Step 3: Cross multiply
    229,258.69x = 502,804.13 × 502,804.13
  4. Step 4: Simplify right side
    229,258.69x = 252,811,988,117.02
  5. Step 5: Solve for x
    x = 252,811,988,117.02/229,258.69
  6. Step 6: Final answer
    x = 1,102,736.79

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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.