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Finding the Third Proportional to 313,458,364 and 731,978,034

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Solution

The third proportional to 313,458,364 and 731,978,034 is: 1,709,291,899.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,458,364 : 731,978,034 = 731,978,034 : x
  2. Step 2: Convert to fraction form
    313,458,364/731,978,034 = 731,978,034/x
  3. Step 3: Cross multiply
    313,458,364x = 731,978,034 × 731,978,034
  4. Step 4: Simplify right side
    313,458,364x = 535,791,842,258,505,152
  5. Step 5: Solve for x
    x = 535,791,842,258,505,152/313,458,364
  6. Step 6: Final answer
    x = 1,709,291,899.00

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.