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Finding the Third Proportional to 354,375 and 777,645

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Solution

The third proportional to 354,375 and 777,645 is: 1,706,474.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,375 : 777,645 = 777,645 : x
  2. Step 2: Convert to fraction form
    354,375/777,645 = 777,645/x
  3. Step 3: Cross multiply
    354,375x = 777,645 × 777,645
  4. Step 4: Simplify right side
    354,375x = 604,731,746,025
  5. Step 5: Solve for x
    x = 604,731,746,025/354,375
  6. Step 6: Final answer
    x = 1,706,474.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.