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Finding the Third Proportional to 275,762,797.50 and 590,866,722

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Solution

The third proportional to 275,762,797.50 and 590,866,722 is: 1,266,028,218.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,762,797.50 : 590,866,722 = 590,866,722 : x
  2. Step 2: Convert to fraction form
    275,762,797.50/590,866,722 = 590,866,722/x
  3. Step 3: Cross multiply
    275,762,797.50x = 590,866,722 × 590,866,722
  4. Step 4: Simplify right side
    275,762,797.50x = 349,123,483,167,025,280
  5. Step 5: Solve for x
    x = 349,123,483,167,025,280/275,762,797.50
  6. Step 6: Final answer
    x = 1,266,028,218.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.