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Finding the Third Proportional to 461,434.50 and 996,471

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Solution

The third proportional to 461,434.50 and 996,471 is: 2,151,886.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,434.50 : 996,471 = 996,471 : x
  2. Step 2: Convert to fraction form
    461,434.50/996,471 = 996,471/x
  3. Step 3: Cross multiply
    461,434.50x = 996,471 × 996,471
  4. Step 4: Simplify right side
    461,434.50x = 992,954,453,841
  5. Step 5: Solve for x
    x = 992,954,453,841/461,434.50
  6. Step 6: Final answer
    x = 2,151,886.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.