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Finding the Third Proportional to 450,569.25 and 629,923.50

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Solution

The third proportional to 450,569.25 and 629,923.50 is: 880,671.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,569.25 : 629,923.50 = 629,923.50 : x
  2. Step 2: Convert to fraction form
    450,569.25/629,923.50 = 629,923.50/x
  3. Step 3: Cross multiply
    450,569.25x = 629,923.50 × 629,923.50
  4. Step 4: Simplify right side
    450,569.25x = 396,803,615,852.25
  5. Step 5: Solve for x
    x = 396,803,615,852.25/450,569.25
  6. Step 6: Final answer
    x = 880,671.76

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.