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Finding the Third Proportional to 510,158,250 and 765,104,508

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Solution

The third proportional to 510,158,250 and 765,104,508 is: 1,147,457,496.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,158,250 : 765,104,508 = 765,104,508 : x
  2. Step 2: Convert to fraction form
    510,158,250/765,104,508 = 765,104,508/x
  3. Step 3: Cross multiply
    510,158,250x = 765,104,508 × 765,104,508
  4. Step 4: Simplify right side
    510,158,250x = 585,384,908,161,922,048
  5. Step 5: Solve for x
    x = 585,384,908,161,922,048/510,158,250
  6. Step 6: Final answer
    x = 1,147,457,496.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.