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Finding the Third Proportional to 291,759,456 and 461,993,712

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Solution

The third proportional to 291,759,456 and 461,993,712 is: 731,555,346.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,759,456 : 461,993,712 = 461,993,712 : x
  2. Step 2: Convert to fraction form
    291,759,456/461,993,712 = 461,993,712/x
  3. Step 3: Cross multiply
    291,759,456x = 461,993,712 × 461,993,712
  4. Step 4: Simplify right side
    291,759,456x = 213,438,189,927,538,944
  5. Step 5: Solve for x
    x = 213,438,189,927,538,944/291,759,456
  6. Step 6: Final answer
    x = 731,555,346.50

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.