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Finding the Third Proportional to 450,535 and 629,875.50

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Solution

The third proportional to 450,535 and 629,875.50 is: 880,604.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,535 : 629,875.50 = 629,875.50 : x
  2. Step 2: Convert to fraction form
    450,535/629,875.50 = 629,875.50/x
  3. Step 3: Cross multiply
    450,535x = 629,875.50 × 629,875.50
  4. Step 4: Simplify right side
    450,535x = 396,743,145,500.25
  5. Step 5: Solve for x
    x = 396,743,145,500.25/450,535
  6. Step 6: Final answer
    x = 880,604.49

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