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Finding the Third Proportional to 333,672 and 517,097

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Solution

The third proportional to 333,672 and 517,097 is: 801,353.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,672 : 517,097 = 517,097 : x
  2. Step 2: Convert to fraction form
    333,672/517,097 = 517,097/x
  3. Step 3: Cross multiply
    333,672x = 517,097 × 517,097
  4. Step 4: Simplify right side
    333,672x = 267,389,307,409
  5. Step 5: Solve for x
    x = 267,389,307,409/333,672
  6. Step 6: Final answer
    x = 801,353.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.