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Finding the Third Proportional to 260,218,283 and 567,902,962

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Solution

The third proportional to 260,218,283 and 567,902,962 is: 1,239,397,057.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,218,283 : 567,902,962 = 567,902,962 : x
  2. Step 2: Convert to fraction form
    260,218,283/567,902,962 = 567,902,962/x
  3. Step 3: Cross multiply
    260,218,283x = 567,902,962 × 567,902,962
  4. Step 4: Simplify right side
    260,218,283x = 322,513,774,248,373,440
  5. Step 5: Solve for x
    x = 322,513,774,248,373,440/260,218,283
  6. Step 6: Final answer
    x = 1,239,397,057.46

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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.