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Finding the Third Proportional to 360,433,544.50 and 558,358,887.75

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Solution

The third proportional to 360,433,544.50 and 558,358,887.75 is: 864,971,233.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,433,544.50 : 558,358,887.75 = 558,358,887.75 : x
  2. Step 2: Convert to fraction form
    360,433,544.50/558,358,887.75 = 558,358,887.75/x
  3. Step 3: Cross multiply
    360,433,544.50x = 558,358,887.75 × 558,358,887.75
  4. Step 4: Simplify right side
    360,433,544.50x = 311,764,647,529,417,088
  5. Step 5: Solve for x
    x = 311,764,647,529,417,088/360,433,544.50
  6. Step 6: Final answer
    x = 864,971,233.36

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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.