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Finding the Third Proportional to 623,490.75 and 967,342.50

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Solution

The third proportional to 623,490.75 and 967,342.50 is: 1,500,826.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,490.75 : 967,342.50 = 967,342.50 : x
  2. Step 2: Convert to fraction form
    623,490.75/967,342.50 = 967,342.50/x
  3. Step 3: Cross multiply
    623,490.75x = 967,342.50 × 967,342.50
  4. Step 4: Simplify right side
    623,490.75x = 935,751,512,306.25
  5. Step 5: Solve for x
    x = 935,751,512,306.25/623,490.75
  6. Step 6: Final answer
    x = 1,500,826.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.