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Finding the Third Proportional to 193,472.61 and 410,446.93

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Solution

The third proportional to 193,472.61 and 410,446.93 is: 870,752.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,472.61 : 410,446.93 = 410,446.93 : x
  2. Step 2: Convert to fraction form
    193,472.61/410,446.93 = 410,446.93/x
  3. Step 3: Cross multiply
    193,472.61x = 410,446.93 × 410,446.93
  4. Step 4: Simplify right side
    193,472.61x = 168,466,685,296.51
  5. Step 5: Solve for x
    x = 168,466,685,296.51/193,472.61
  6. Step 6: Final answer
    x = 870,752.11

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.