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Finding the Third Proportional to 235,467 and 514,950

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Solution

The third proportional to 235,467 and 514,950 is: 1,126,159.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,467 : 514,950 = 514,950 : x
  2. Step 2: Convert to fraction form
    235,467/514,950 = 514,950/x
  3. Step 3: Cross multiply
    235,467x = 514,950 × 514,950
  4. Step 4: Simplify right side
    235,467x = 265,173,502,500
  5. Step 5: Solve for x
    x = 265,173,502,500/235,467
  6. Step 6: Final answer
    x = 1,126,159.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.