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Finding the Third Proportional to 360,752,441.25 and 557,695,219.88

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Solution

The third proportional to 360,752,441.25 and 557,695,219.88 is: 862,153,440.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,752,441.25 : 557,695,219.88 = 557,695,219.88 : x
  2. Step 2: Convert to fraction form
    360,752,441.25/557,695,219.88 = 557,695,219.88/x
  3. Step 3: Cross multiply
    360,752,441.25x = 557,695,219.88 × 557,695,219.88
  4. Step 4: Simplify right side
    360,752,441.25x = 311,023,958,271,424,576
  5. Step 5: Solve for x
    x = 311,023,958,271,424,576/360,752,441.25
  6. Step 6: Final answer
    x = 862,153,440.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.