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Finding the Third Proportional to 300,255,180 and 652,153,836

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Solution

The third proportional to 300,255,180 and 652,153,836 is: 1,416,477,230.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,255,180 : 652,153,836 = 652,153,836 : x
  2. Step 2: Convert to fraction form
    300,255,180/652,153,836 = 652,153,836/x
  3. Step 3: Cross multiply
    300,255,180x = 652,153,836 × 652,153,836
  4. Step 4: Simplify right side
    300,255,180x = 425,304,625,809,514,880
  5. Step 5: Solve for x
    x = 425,304,625,809,514,880/300,255,180
  6. Step 6: Final answer
    x = 1,416,477,230.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.