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Finding the Third Proportional to 299,160 and 447,727.50

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Solution

The third proportional to 299,160 and 447,727.50 is: 670,075.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,160 : 447,727.50 = 447,727.50 : x
  2. Step 2: Convert to fraction form
    299,160/447,727.50 = 447,727.50/x
  3. Step 3: Cross multiply
    299,160x = 447,727.50 × 447,727.50
  4. Step 4: Simplify right side
    299,160x = 200,459,914,256.25
  5. Step 5: Solve for x
    x = 200,459,914,256.25/299,160
  6. Step 6: Final answer
    x = 670,075.93

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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.