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Finding the Third Proportional to 458,508 and 996,072

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Solution

The third proportional to 458,508 and 996,072 is: 2,163,886.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,508 : 996,072 = 996,072 : x
  2. Step 2: Convert to fraction form
    458,508/996,072 = 996,072/x
  3. Step 3: Cross multiply
    458,508x = 996,072 × 996,072
  4. Step 4: Simplify right side
    458,508x = 992,159,429,184
  5. Step 5: Solve for x
    x = 992,159,429,184/458,508
  6. Step 6: Final answer
    x = 2,163,886.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.