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Finding the Third Proportional to 399,096 and 586,973.25

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Solution

The third proportional to 399,096 and 586,973.25 is: 863,295.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,096 : 586,973.25 = 586,973.25 : x
  2. Step 2: Convert to fraction form
    399,096/586,973.25 = 586,973.25/x
  3. Step 3: Cross multiply
    399,096x = 586,973.25 × 586,973.25
  4. Step 4: Simplify right side
    399,096x = 344,537,596,215.56
  5. Step 5: Solve for x
    x = 344,537,596,215.56/399,096
  6. Step 6: Final answer
    x = 863,295.04

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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.