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Finding the Third Proportional to 301,752.75 and 452,635.50

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Solution

The third proportional to 301,752.75 and 452,635.50 is: 678,962.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,752.75 : 452,635.50 = 452,635.50 : x
  2. Step 2: Convert to fraction form
    301,752.75/452,635.50 = 452,635.50/x
  3. Step 3: Cross multiply
    301,752.75x = 452,635.50 × 452,635.50
  4. Step 4: Simplify right side
    301,752.75x = 204,878,895,860.25
  5. Step 5: Solve for x
    x = 204,878,895,860.25/301,752.75
  6. Step 6: Final answer
    x = 678,962.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.