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Finding the Third Proportional to 331,643 and 710,599

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Solution

The third proportional to 331,643 and 710,599 is: 1,522,573.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,643 : 710,599 = 710,599 : x
  2. Step 2: Convert to fraction form
    331,643/710,599 = 710,599/x
  3. Step 3: Cross multiply
    331,643x = 710,599 × 710,599
  4. Step 4: Simplify right side
    331,643x = 504,950,938,801
  5. Step 5: Solve for x
    x = 504,950,938,801/331,643
  6. Step 6: Final answer
    x = 1,522,573.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.