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Finding the Third Proportional to 406,089 and 597,361.50

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Solution

The third proportional to 406,089 and 597,361.50 is: 878,725.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,089 : 597,361.50 = 597,361.50 : x
  2. Step 2: Convert to fraction form
    406,089/597,361.50 = 597,361.50/x
  3. Step 3: Cross multiply
    406,089x = 597,361.50 × 597,361.50
  4. Step 4: Simplify right side
    406,089x = 356,840,761,682.25
  5. Step 5: Solve for x
    x = 356,840,761,682.25/406,089
  6. Step 6: Final answer
    x = 878,725.51

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.