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Finding the Third Proportional to 480,511.50 and 695,980.50

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Solution

The third proportional to 480,511.50 and 695,980.50 is: 1,008,069.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,511.50 : 695,980.50 = 695,980.50 : x
  2. Step 2: Convert to fraction form
    480,511.50/695,980.50 = 695,980.50/x
  3. Step 3: Cross multiply
    480,511.50x = 695,980.50 × 695,980.50
  4. Step 4: Simplify right side
    480,511.50x = 484,388,856,380.25
  5. Step 5: Solve for x
    x = 484,388,856,380.25/480,511.50
  6. Step 6: Final answer
    x = 1,008,069.23

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.