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Finding the Third Proportional to 426,190.50 and 710,223.75

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Solution

The third proportional to 426,190.50 and 710,223.75 is: 1,183,550.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,190.50 : 710,223.75 = 710,223.75 : x
  2. Step 2: Convert to fraction form
    426,190.50/710,223.75 = 710,223.75/x
  3. Step 3: Cross multiply
    426,190.50x = 710,223.75 × 710,223.75
  4. Step 4: Simplify right side
    426,190.50x = 504,417,775,064.06
  5. Step 5: Solve for x
    x = 504,417,775,064.06/426,190.50
  6. Step 6: Final answer
    x = 1,183,550.02

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.