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Finding the Third Proportional to 293,454 and 643,162

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Solution

The third proportional to 293,454 and 643,162 is: 1,409,615.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,454 : 643,162 = 643,162 : x
  2. Step 2: Convert to fraction form
    293,454/643,162 = 643,162/x
  3. Step 3: Cross multiply
    293,454x = 643,162 × 643,162
  4. Step 4: Simplify right side
    293,454x = 413,657,358,244
  5. Step 5: Solve for x
    x = 413,657,358,244/293,454
  6. Step 6: Final answer
    x = 1,409,615.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.