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Finding the Third Proportional to 182,964 and 400,488

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Solution

The third proportional to 182,964 and 400,488 is: 876,624.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,964 : 400,488 = 400,488 : x
  2. Step 2: Convert to fraction form
    182,964/400,488 = 400,488/x
  3. Step 3: Cross multiply
    182,964x = 400,488 × 400,488
  4. Step 4: Simplify right side
    182,964x = 160,390,638,144
  5. Step 5: Solve for x
    x = 160,390,638,144/182,964
  6. Step 6: Final answer
    x = 876,624.03

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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.