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Finding the Third Proportional to 354,435 and 777,763.50

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Solution

The third proportional to 354,435 and 777,763.50 is: 1,706,705.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,435 : 777,763.50 = 777,763.50 : x
  2. Step 2: Convert to fraction form
    354,435/777,763.50 = 777,763.50/x
  3. Step 3: Cross multiply
    354,435x = 777,763.50 × 777,763.50
  4. Step 4: Simplify right side
    354,435x = 604,916,061,932.25
  5. Step 5: Solve for x
    x = 604,916,061,932.25/354,435
  6. Step 6: Final answer
    x = 1,706,705.21

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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.