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Finding the Third Proportional to 291,032,714 and 436,442,205

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Solution

The third proportional to 291,032,714 and 436,442,205 is: 654,503,047.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,032,714 : 436,442,205 = 436,442,205 : x
  2. Step 2: Convert to fraction form
    291,032,714/436,442,205 = 436,442,205/x
  3. Step 3: Cross multiply
    291,032,714x = 436,442,205 × 436,442,205
  4. Step 4: Simplify right side
    291,032,714x = 190,481,798,305,262,016
  5. Step 5: Solve for x
    x = 190,481,798,305,262,016/291,032,714
  6. Step 6: Final answer
    x = 654,503,047.74

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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.