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Finding the Third Proportional to 655,857 and 997,393.50

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Solution

The third proportional to 655,857 and 997,393.50 is: 1,516,784.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,857 : 997,393.50 = 997,393.50 : x
  2. Step 2: Convert to fraction form
    655,857/997,393.50 = 997,393.50/x
  3. Step 3: Cross multiply
    655,857x = 997,393.50 × 997,393.50
  4. Step 4: Simplify right side
    655,857x = 994,793,793,842.25
  5. Step 5: Solve for x
    x = 994,793,793,842.25/655,857
  6. Step 6: Final answer
    x = 1,516,784.59

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.