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Finding the Third Proportional to 585,790.50 and 1,218,231

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Solution

The third proportional to 585,790.50 and 1,218,231 is: 2,533,477.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,790.50 : 1,218,231 = 1,218,231 : x
  2. Step 2: Convert to fraction form
    585,790.50/1,218,231 = 1,218,231/x
  3. Step 3: Cross multiply
    585,790.50x = 1,218,231 × 1,218,231
  4. Step 4: Simplify right side
    585,790.50x = 1,484,086,769,361
  5. Step 5: Solve for x
    x = 1,484,086,769,361/585,790.50
  6. Step 6: Final answer
    x = 2,533,477.02

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.