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Finding the Third Proportional to 253,926 and 542,835

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Solution

The third proportional to 253,926 and 542,835 is: 1,160,455.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,926 : 542,835 = 542,835 : x
  2. Step 2: Convert to fraction form
    253,926/542,835 = 542,835/x
  3. Step 3: Cross multiply
    253,926x = 542,835 × 542,835
  4. Step 4: Simplify right side
    253,926x = 294,669,837,225
  5. Step 5: Solve for x
    x = 294,669,837,225/253,926
  6. Step 6: Final answer
    x = 1,160,455.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.