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Finding the Third Proportional to 333,522 and 517,212

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Solution

The third proportional to 333,522 and 517,212 is: 802,070.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,522 : 517,212 = 517,212 : x
  2. Step 2: Convert to fraction form
    333,522/517,212 = 517,212/x
  3. Step 3: Cross multiply
    333,522x = 517,212 × 517,212
  4. Step 4: Simplify right side
    333,522x = 267,508,252,944
  5. Step 5: Solve for x
    x = 267,508,252,944/333,522
  6. Step 6: Final answer
    x = 802,070.79

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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.