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Finding the Third Proportional to 259,090 and 562,434.75

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Solution

The third proportional to 259,090 and 562,434.75 is: 1,220,938.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,090 : 562,434.75 = 562,434.75 : x
  2. Step 2: Convert to fraction form
    259,090/562,434.75 = 562,434.75/x
  3. Step 3: Cross multiply
    259,090x = 562,434.75 × 562,434.75
  4. Step 4: Simplify right side
    259,090x = 316,332,848,007.56
  5. Step 5: Solve for x
    x = 316,332,848,007.56/259,090
  6. Step 6: Final answer
    x = 1,220,938.08

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.