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Finding the Third Proportional to 298,222.88 and 460,743.75

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Solution

The third proportional to 298,222.88 and 460,743.75 is: 711,832.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,222.88 : 460,743.75 = 460,743.75 : x
  2. Step 2: Convert to fraction form
    298,222.88/460,743.75 = 460,743.75/x
  3. Step 3: Cross multiply
    298,222.88x = 460,743.75 × 460,743.75
  4. Step 4: Simplify right side
    298,222.88x = 212,284,803,164.06
  5. Step 5: Solve for x
    x = 212,284,803,164.06/298,222.88
  6. Step 6: Final answer
    x = 711,832.73

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.