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Finding the Third Proportional to 355,758,912 and 531,543,600

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Solution

The third proportional to 355,758,912 and 531,543,600 is: 794,185,582.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,758,912 : 531,543,600 = 531,543,600 : x
  2. Step 2: Convert to fraction form
    355,758,912/531,543,600 = 531,543,600/x
  3. Step 3: Cross multiply
    355,758,912x = 531,543,600 × 531,543,600
  4. Step 4: Simplify right side
    355,758,912x = 282,538,598,700,960,000
  5. Step 5: Solve for x
    x = 282,538,598,700,960,000/355,758,912
  6. Step 6: Final answer
    x = 794,185,582.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.