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Finding the Third Proportional to 235,300.50 and 483,117.75

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Solution

The third proportional to 235,300.50 and 483,117.75 is: 991,934.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,300.50 : 483,117.75 = 483,117.75 : x
  2. Step 2: Convert to fraction form
    235,300.50/483,117.75 = 483,117.75/x
  3. Step 3: Cross multiply
    235,300.50x = 483,117.75 × 483,117.75
  4. Step 4: Simplify right side
    235,300.50x = 233,402,760,365.06
  5. Step 5: Solve for x
    x = 233,402,760,365.06/235,300.50
  6. Step 6: Final answer
    x = 991,934.83

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.