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Finding the Third Proportional to 586,799.44 and 852,519.94

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Solution

The third proportional to 586,799.44 and 852,519.94 is: 1,238,566.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,799.44 : 852,519.94 = 852,519.94 : x
  2. Step 2: Convert to fraction form
    586,799.44/852,519.94 = 852,519.94/x
  3. Step 3: Cross multiply
    586,799.44x = 852,519.94 × 852,519.94
  4. Step 4: Simplify right side
    586,799.44x = 726,790,243,835.00
  5. Step 5: Solve for x
    x = 726,790,243,835.00/586,799.44
  6. Step 6: Final answer
    x = 1,238,566.70

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.