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Finding the Third Proportional to 340,674.75 and 529,006.50

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Solution

The third proportional to 340,674.75 and 529,006.50 is: 821,451.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,674.75 : 529,006.50 = 529,006.50 : x
  2. Step 2: Convert to fraction form
    340,674.75/529,006.50 = 529,006.50/x
  3. Step 3: Cross multiply
    340,674.75x = 529,006.50 × 529,006.50
  4. Step 4: Simplify right side
    340,674.75x = 279,847,877,042.25
  5. Step 5: Solve for x
    x = 279,847,877,042.25/340,674.75
  6. Step 6: Final answer
    x = 821,451.77

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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.