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Finding the Third Proportional to 295,548.75 and 432,843.75

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Solution

The third proportional to 295,548.75 and 432,843.75 is: 633,918.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,548.75 : 432,843.75 = 432,843.75 : x
  2. Step 2: Convert to fraction form
    295,548.75/432,843.75 = 432,843.75/x
  3. Step 3: Cross multiply
    295,548.75x = 432,843.75 × 432,843.75
  4. Step 4: Simplify right side
    295,548.75x = 187,353,711,914.06
  5. Step 5: Solve for x
    x = 187,353,711,914.06/295,548.75
  6. Step 6: Final answer
    x = 633,918.13

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.