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Finding the Third Proportional to 234,716 and 512,442

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Solution

The third proportional to 234,716 and 512,442 is: 1,118,785.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,716 : 512,442 = 512,442 : x
  2. Step 2: Convert to fraction form
    234,716/512,442 = 512,442/x
  3. Step 3: Cross multiply
    234,716x = 512,442 × 512,442
  4. Step 4: Simplify right side
    234,716x = 262,596,803,364
  5. Step 5: Solve for x
    x = 262,596,803,364/234,716
  6. Step 6: Final answer
    x = 1,118,785.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.