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Finding the Third Proportional to 369,967.50 and 809,635.50

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Solution

The third proportional to 369,967.50 and 809,635.50 is: 1,771,803.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,967.50 : 809,635.50 = 809,635.50 : x
  2. Step 2: Convert to fraction form
    369,967.50/809,635.50 = 809,635.50/x
  3. Step 3: Cross multiply
    369,967.50x = 809,635.50 × 809,635.50
  4. Step 4: Simplify right side
    369,967.50x = 655,509,642,860.25
  5. Step 5: Solve for x
    x = 655,509,642,860.25/369,967.50
  6. Step 6: Final answer
    x = 1,771,803.31

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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.