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Finding the Third Proportional to 340,674.75 and 528,997.50

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Solution

The third proportional to 340,674.75 and 528,997.50 is: 821,423.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,674.75 : 528,997.50 = 528,997.50 : x
  2. Step 2: Convert to fraction form
    340,674.75/528,997.50 = 528,997.50/x
  3. Step 3: Cross multiply
    340,674.75x = 528,997.50 × 528,997.50
  4. Step 4: Simplify right side
    340,674.75x = 279,838,355,006.25
  5. Step 5: Solve for x
    x = 279,838,355,006.25/340,674.75
  6. Step 6: Final answer
    x = 821,423.82

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