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Finding the Third Proportional to 293,459.63 and 466,453.69

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Solution

The third proportional to 293,459.63 and 466,453.69 is: 741,427.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,459.63 : 466,453.69 = 466,453.69 : x
  2. Step 2: Convert to fraction form
    293,459.63/466,453.69 = 466,453.69/x
  3. Step 3: Cross multiply
    293,459.63x = 466,453.69 × 466,453.69
  4. Step 4: Simplify right side
    293,459.63x = 217,579,042,582.35
  5. Step 5: Solve for x
    x = 217,579,042,582.35/293,459.63
  6. Step 6: Final answer
    x = 741,427.52

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.