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Finding the Third Proportional to 239,304,824 and 520,538,308

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Solution

The third proportional to 239,304,824 and 520,538,308 is: 1,132,280,267.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,304,824 : 520,538,308 = 520,538,308 : x
  2. Step 2: Convert to fraction form
    239,304,824/520,538,308 = 520,538,308/x
  3. Step 3: Cross multiply
    239,304,824x = 520,538,308 × 520,538,308
  4. Step 4: Simplify right side
    239,304,824x = 270,960,130,095,502,848
  5. Step 5: Solve for x
    x = 270,960,130,095,502,848/239,304,824
  6. Step 6: Final answer
    x = 1,132,280,267.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.