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Finding the Third Proportional to 432,995.25 and 623,709.75

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Solution

The third proportional to 432,995.25 and 623,709.75 is: 898,425.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,995.25 : 623,709.75 = 623,709.75 : x
  2. Step 2: Convert to fraction form
    432,995.25/623,709.75 = 623,709.75/x
  3. Step 3: Cross multiply
    432,995.25x = 623,709.75 × 623,709.75
  4. Step 4: Simplify right side
    432,995.25x = 389,013,852,245.06
  5. Step 5: Solve for x
    x = 389,013,852,245.06/432,995.25
  6. Step 6: Final answer
    x = 898,425.22

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.