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Finding the Third Proportional to 560,056.50 and 850,470.75

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Solution

The third proportional to 560,056.50 and 850,470.75 is: 1,291,477.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,056.50 : 850,470.75 = 850,470.75 : x
  2. Step 2: Convert to fraction form
    560,056.50/850,470.75 = 850,470.75/x
  3. Step 3: Cross multiply
    560,056.50x = 850,470.75 × 850,470.75
  4. Step 4: Simplify right side
    560,056.50x = 723,300,496,605.56
  5. Step 5: Solve for x
    x = 723,300,496,605.56/560,056.50
  6. Step 6: Final answer
    x = 1,291,477.73

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.