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Finding the Third Proportional to 404,139 and 588,439.50

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Solution

The third proportional to 404,139 and 588,439.50 is: 856,787.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,139 : 588,439.50 = 588,439.50 : x
  2. Step 2: Convert to fraction form
    404,139/588,439.50 = 588,439.50/x
  3. Step 3: Cross multiply
    404,139x = 588,439.50 × 588,439.50
  4. Step 4: Simplify right side
    404,139x = 346,261,045,160.25
  5. Step 5: Solve for x
    x = 346,261,045,160.25/404,139
  6. Step 6: Final answer
    x = 856,787.01

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.