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Finding the Third Proportional to 259,945,920 and 570,912,768

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Solution

The third proportional to 259,945,920 and 570,912,768 is: 1,253,881,533.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,945,920 : 570,912,768 = 570,912,768 : x
  2. Step 2: Convert to fraction form
    259,945,920/570,912,768 = 570,912,768/x
  3. Step 3: Cross multiply
    259,945,920x = 570,912,768 × 570,912,768
  4. Step 4: Simplify right side
    259,945,920x = 325,941,388,665,421,824
  5. Step 5: Solve for x
    x = 325,941,388,665,421,824/259,945,920
  6. Step 6: Final answer
    x = 1,253,881,533.00

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.