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Finding the Third Proportional to 358,131 and 765,426

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Solution

The third proportional to 358,131 and 765,426 is: 1,635,929.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,131 : 765,426 = 765,426 : x
  2. Step 2: Convert to fraction form
    358,131/765,426 = 765,426/x
  3. Step 3: Cross multiply
    358,131x = 765,426 × 765,426
  4. Step 4: Simplify right side
    358,131x = 585,876,961,476
  5. Step 5: Solve for x
    x = 585,876,961,476/358,131
  6. Step 6: Final answer
    x = 1,635,929.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.