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Finding the Third Proportional to 233,772 and 503,295.50

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Solution

The third proportional to 233,772 and 503,295.50 is: 1,083,561.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,772 : 503,295.50 = 503,295.50 : x
  2. Step 2: Convert to fraction form
    233,772/503,295.50 = 503,295.50/x
  3. Step 3: Cross multiply
    233,772x = 503,295.50 × 503,295.50
  4. Step 4: Simplify right side
    233,772x = 253,306,360,320.25
  5. Step 5: Solve for x
    x = 253,306,360,320.25/233,772
  6. Step 6: Final answer
    x = 1,083,561.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.