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Finding the Third Proportional to 590,312.25 and 862,231.50

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Solution

The third proportional to 590,312.25 and 862,231.50 is: 1,259,406.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,312.25 : 862,231.50 = 862,231.50 : x
  2. Step 2: Convert to fraction form
    590,312.25/862,231.50 = 862,231.50/x
  3. Step 3: Cross multiply
    590,312.25x = 862,231.50 × 862,231.50
  4. Step 4: Simplify right side
    590,312.25x = 743,443,159,592.25
  5. Step 5: Solve for x
    x = 743,443,159,592.25/590,312.25
  6. Step 6: Final answer
    x = 1,259,406.63

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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.