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Finding the Third Proportional to 540,924.75 and 842,005.13

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Solution

The third proportional to 540,924.75 and 842,005.13 is: 1,310,667.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,924.75 : 842,005.13 = 842,005.13 : x
  2. Step 2: Convert to fraction form
    540,924.75/842,005.13 = 842,005.13/x
  3. Step 3: Cross multiply
    540,924.75x = 842,005.13 × 842,005.13
  4. Step 4: Simplify right side
    540,924.75x = 708,972,630,526.27
  5. Step 5: Solve for x
    x = 708,972,630,526.27/540,924.75
  6. Step 6: Final answer
    x = 1,310,667.76

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.