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Finding the Third Proportional to 255,578,976 and 365,480,748

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Solution

The third proportional to 255,578,976 and 365,480,748 is: 522,641,491.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,578,976 : 365,480,748 = 365,480,748 : x
  2. Step 2: Convert to fraction form
    255,578,976/365,480,748 = 365,480,748/x
  3. Step 3: Cross multiply
    255,578,976x = 365,480,748 × 365,480,748
  4. Step 4: Simplify right side
    255,578,976x = 133,576,177,158,639,504
  5. Step 5: Solve for x
    x = 133,576,177,158,639,504/255,578,976
  6. Step 6: Final answer
    x = 522,641,491.29

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.