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Finding the Third Proportional to 317,370,560 and 480,846,180

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Solution

The third proportional to 317,370,560 and 480,846,180 is: 728,527,084.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,370,560 : 480,846,180 = 480,846,180 : x
  2. Step 2: Convert to fraction form
    317,370,560/480,846,180 = 480,846,180/x
  3. Step 3: Cross multiply
    317,370,560x = 480,846,180 × 480,846,180
  4. Step 4: Simplify right side
    317,370,560x = 231,213,048,820,592,384
  5. Step 5: Solve for x
    x = 231,213,048,820,592,384/317,370,560
  6. Step 6: Final answer
    x = 728,527,084.62

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.