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Finding the Third Proportional to 333,207 and 529,331

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Solution

The third proportional to 333,207 and 529,331 is: 840,892.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,207 : 529,331 = 529,331 : x
  2. Step 2: Convert to fraction form
    333,207/529,331 = 529,331/x
  3. Step 3: Cross multiply
    333,207x = 529,331 × 529,331
  4. Step 4: Simplify right side
    333,207x = 280,191,307,561
  5. Step 5: Solve for x
    x = 280,191,307,561/333,207
  6. Step 6: Final answer
    x = 840,892.62

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.