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Finding the Third Proportional to 233,409 and 330,295.50

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Solution

The third proportional to 233,409 and 330,295.50 is: 467,398.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,409 : 330,295.50 = 330,295.50 : x
  2. Step 2: Convert to fraction form
    233,409/330,295.50 = 330,295.50/x
  3. Step 3: Cross multiply
    233,409x = 330,295.50 × 330,295.50
  4. Step 4: Simplify right side
    233,409x = 109,095,117,320.25
  5. Step 5: Solve for x
    x = 109,095,117,320.25/233,409
  6. Step 6: Final answer
    x = 467,398.93

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.