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Finding the Third Proportional to 295,133,878 and 441,074,175

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Solution

The third proportional to 295,133,878 and 441,074,175 is: 659,180,264.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,133,878 : 441,074,175 = 441,074,175 : x
  2. Step 2: Convert to fraction form
    295,133,878/441,074,175 = 441,074,175/x
  3. Step 3: Cross multiply
    295,133,878x = 441,074,175 × 441,074,175
  4. Step 4: Simplify right side
    295,133,878x = 194,546,427,851,930,624
  5. Step 5: Solve for x
    x = 194,546,427,851,930,624/295,133,878
  6. Step 6: Final answer
    x = 659,180,264.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.