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Finding the Third Proportional to 484,329 and 664,852.50

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Solution

The third proportional to 484,329 and 664,852.50 is: 912,662.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,329 : 664,852.50 = 664,852.50 : x
  2. Step 2: Convert to fraction form
    484,329/664,852.50 = 664,852.50/x
  3. Step 3: Cross multiply
    484,329x = 664,852.50 × 664,852.50
  4. Step 4: Simplify right side
    484,329x = 442,028,846,756.25
  5. Step 5: Solve for x
    x = 442,028,846,756.25/484,329
  6. Step 6: Final answer
    x = 912,662.36

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.