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Finding the Third Proportional to 461,307 and 998,430

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Solution

The third proportional to 461,307 and 998,430 is: 2,160,952.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,307 : 998,430 = 998,430 : x
  2. Step 2: Convert to fraction form
    461,307/998,430 = 998,430/x
  3. Step 3: Cross multiply
    461,307x = 998,430 × 998,430
  4. Step 4: Simplify right side
    461,307x = 996,862,464,900
  5. Step 5: Solve for x
    x = 996,862,464,900/461,307
  6. Step 6: Final answer
    x = 2,160,952.39

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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.