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Finding the Third Proportional to 262,125,427.50 and 436,823,332.50

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Solution

The third proportional to 262,125,427.50 and 436,823,332.50 is: 727,951,597.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,125,427.50 : 436,823,332.50 = 436,823,332.50 : x
  2. Step 2: Convert to fraction form
    262,125,427.50/436,823,332.50 = 436,823,332.50/x
  3. Step 3: Cross multiply
    262,125,427.50x = 436,823,332.50 × 436,823,332.50
  4. Step 4: Simplify right side
    262,125,427.50x = 190,814,623,816,405,568
  5. Step 5: Solve for x
    x = 190,814,623,816,405,568/262,125,427.50
  6. Step 6: Final answer
    x = 727,951,597.97

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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.