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Finding the Third Proportional to 524,712.94 and 802,279.69

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Solution

The third proportional to 524,712.94 and 802,279.69 is: 1,226,675.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,712.94 : 802,279.69 = 802,279.69 : x
  2. Step 2: Convert to fraction form
    524,712.94/802,279.69 = 802,279.69/x
  3. Step 3: Cross multiply
    524,712.94x = 802,279.69 × 802,279.69
  4. Step 4: Simplify right side
    524,712.94x = 643,652,696,975.10
  5. Step 5: Solve for x
    x = 643,652,696,975.10/524,712.94
  6. Step 6: Final answer
    x = 1,226,675.87

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.