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Finding the Third Proportional to 288,243 and 458,026

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Solution

The third proportional to 288,243 and 458,026 is: 727,815.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,243 : 458,026 = 458,026 : x
  2. Step 2: Convert to fraction form
    288,243/458,026 = 458,026/x
  3. Step 3: Cross multiply
    288,243x = 458,026 × 458,026
  4. Step 4: Simplify right side
    288,243x = 209,787,816,676
  5. Step 5: Solve for x
    x = 209,787,816,676/288,243
  6. Step 6: Final answer
    x = 727,815.82

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.