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Finding the Third Proportional to 310,144,464 and 480,171,888

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Solution

The third proportional to 310,144,464 and 480,171,888 is: 743,411,760.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,144,464 : 480,171,888 = 480,171,888 : x
  2. Step 2: Convert to fraction form
    310,144,464/480,171,888 = 480,171,888/x
  3. Step 3: Cross multiply
    310,144,464x = 480,171,888 × 480,171,888
  4. Step 4: Simplify right side
    310,144,464x = 230,565,042,025,484,544
  5. Step 5: Solve for x
    x = 230,565,042,025,484,544/310,144,464
  6. Step 6: Final answer
    x = 743,411,760.61

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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.