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Finding the Third Proportional to 407,909.25 and 896,573.25

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Solution

The third proportional to 407,909.25 and 896,573.25 is: 1,970,643.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,909.25 : 896,573.25 = 896,573.25 : x
  2. Step 2: Convert to fraction form
    407,909.25/896,573.25 = 896,573.25/x
  3. Step 3: Cross multiply
    407,909.25x = 896,573.25 × 896,573.25
  4. Step 4: Simplify right side
    407,909.25x = 803,843,592,615.56
  5. Step 5: Solve for x
    x = 803,843,592,615.56/407,909.25
  6. Step 6: Final answer
    x = 1,970,643.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.