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Finding the Third Proportional to 275,076,711.50 and 411,524,504.25

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Solution

The third proportional to 275,076,711.50 and 411,524,504.25 is: 615,655,235.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,076,711.50 : 411,524,504.25 = 411,524,504.25 : x
  2. Step 2: Convert to fraction form
    275,076,711.50/411,524,504.25 = 411,524,504.25/x
  3. Step 3: Cross multiply
    275,076,711.50x = 411,524,504.25 × 411,524,504.25
  4. Step 4: Simplify right side
    275,076,711.50x = 169,352,417,598,208,256
  5. Step 5: Solve for x
    x = 169,352,417,598,208,256/275,076,711.50
  6. Step 6: Final answer
    x = 615,655,235.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.