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Finding the Third Proportional to 542,596.50 and 798,214.50

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Solution

The third proportional to 542,596.50 and 798,214.50 is: 1,174,254.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,596.50 : 798,214.50 = 798,214.50 : x
  2. Step 2: Convert to fraction form
    542,596.50/798,214.50 = 798,214.50/x
  3. Step 3: Cross multiply
    542,596.50x = 798,214.50 × 798,214.50
  4. Step 4: Simplify right side
    542,596.50x = 637,146,388,010.25
  5. Step 5: Solve for x
    x = 637,146,388,010.25/542,596.50
  6. Step 6: Final answer
    x = 1,174,254.51

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Why These Related Problems?

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