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Finding the Third Proportional to 331,645 and 710,606

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Solution

The third proportional to 331,645 and 710,606 is: 1,522,594.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,645 : 710,606 = 710,606 : x
  2. Step 2: Convert to fraction form
    331,645/710,606 = 710,606/x
  3. Step 3: Cross multiply
    331,645x = 710,606 × 710,606
  4. Step 4: Simplify right side
    331,645x = 504,960,887,236
  5. Step 5: Solve for x
    x = 504,960,887,236/331,645
  6. Step 6: Final answer
    x = 1,522,594.60

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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.