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Finding the Third Proportional to 246,624.38 and 537,880.88

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Solution

The third proportional to 246,624.38 and 537,880.88 is: 1,173,103.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,624.38 : 537,880.88 = 537,880.88 : x
  2. Step 2: Convert to fraction form
    246,624.38/537,880.88 = 537,880.88/x
  3. Step 3: Cross multiply
    246,624.38x = 537,880.88 × 537,880.88
  4. Step 4: Simplify right side
    246,624.38x = 289,315,835,690.77
  5. Step 5: Solve for x
    x = 289,315,835,690.77/246,624.38
  6. Step 6: Final answer
    x = 1,173,103.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.