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Finding the Third Proportional to 401,246,644.50 and 565,043,694.75

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Solution

The third proportional to 401,246,644.50 and 565,043,694.75 is: 795,706,036.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,246,644.50 : 565,043,694.75 = 565,043,694.75 : x
  2. Step 2: Convert to fraction form
    401,246,644.50/565,043,694.75 = 565,043,694.75/x
  3. Step 3: Cross multiply
    401,246,644.50x = 565,043,694.75 × 565,043,694.75
  4. Step 4: Simplify right side
    401,246,644.50x = 319,274,376,976,731,200
  5. Step 5: Solve for x
    x = 319,274,376,976,731,200/401,246,644.50
  6. Step 6: Final answer
    x = 795,706,036.06

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.