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Finding the Third Proportional to 291,032,077 and 436,441,219

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Solution

The third proportional to 291,032,077 and 436,441,219 is: 654,501,523.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,032,077 : 436,441,219 = 436,441,219 : x
  2. Step 2: Convert to fraction form
    291,032,077/436,441,219 = 436,441,219/x
  3. Step 3: Cross multiply
    291,032,077x = 436,441,219 × 436,441,219
  4. Step 4: Simplify right side
    291,032,077x = 190,480,937,642,205,952
  5. Step 5: Solve for x
    x = 190,480,937,642,205,952/291,032,077
  6. Step 6: Final answer
    x = 654,501,523.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.