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Finding the Third Proportional to 542,004 and 805,149

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Solution

The third proportional to 542,004 and 805,149 is: 1,196,051.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,004 : 805,149 = 805,149 : x
  2. Step 2: Convert to fraction form
    542,004/805,149 = 805,149/x
  3. Step 3: Cross multiply
    542,004x = 805,149 × 805,149
  4. Step 4: Simplify right side
    542,004x = 648,264,912,201
  5. Step 5: Solve for x
    x = 648,264,912,201/542,004
  6. Step 6: Final answer
    x = 1,196,051.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.