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Finding the Third Proportional to 623,056.50 and 967,632.75

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Solution

The third proportional to 623,056.50 and 967,632.75 is: 1,502,774.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,056.50 : 967,632.75 = 967,632.75 : x
  2. Step 2: Convert to fraction form
    623,056.50/967,632.75 = 967,632.75/x
  3. Step 3: Cross multiply
    623,056.50x = 967,632.75 × 967,632.75
  4. Step 4: Simplify right side
    623,056.50x = 936,313,138,872.56
  5. Step 5: Solve for x
    x = 936,313,138,872.56/623,056.50
  6. Step 6: Final answer
    x = 1,502,774.05

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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.