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Finding the Third Proportional to 506,851.50 and 1,097,353.50

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Solution

The third proportional to 506,851.50 and 1,097,353.50 is: 2,375,813.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,851.50 : 1,097,353.50 = 1,097,353.50 : x
  2. Step 2: Convert to fraction form
    506,851.50/1,097,353.50 = 1,097,353.50/x
  3. Step 3: Cross multiply
    506,851.50x = 1,097,353.50 × 1,097,353.50
  4. Step 4: Simplify right side
    506,851.50x = 1,204,184,703,962.25
  5. Step 5: Solve for x
    x = 1,204,184,703,962.25/506,851.50
  6. Step 6: Final answer
    x = 2,375,813.63

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.