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Finding the Third Proportional to 346,256 and 518,008

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Solution

The third proportional to 346,256 and 518,008 is: 774,953.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,256 : 518,008 = 518,008 : x
  2. Step 2: Convert to fraction form
    346,256/518,008 = 518,008/x
  3. Step 3: Cross multiply
    346,256x = 518,008 × 518,008
  4. Step 4: Simplify right side
    346,256x = 268,332,288,064
  5. Step 5: Solve for x
    x = 268,332,288,064/346,256
  6. Step 6: Final answer
    x = 774,953.47

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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.