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Finding the Third Proportional to 413,824.50 and 924,527.25

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Solution

The third proportional to 413,824.50 and 924,527.25 is: 2,065,490.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,824.50 : 924,527.25 = 924,527.25 : x
  2. Step 2: Convert to fraction form
    413,824.50/924,527.25 = 924,527.25/x
  3. Step 3: Cross multiply
    413,824.50x = 924,527.25 × 924,527.25
  4. Step 4: Simplify right side
    413,824.50x = 854,750,635,992.56
  5. Step 5: Solve for x
    x = 854,750,635,992.56/413,824.50
  6. Step 6: Final answer
    x = 2,065,490.65

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.