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Finding the Third Proportional to 235,386 and 500,175

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Solution

The third proportional to 235,386 and 500,175 is: 1,062,828.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,386 : 500,175 = 500,175 : x
  2. Step 2: Convert to fraction form
    235,386/500,175 = 500,175/x
  3. Step 3: Cross multiply
    235,386x = 500,175 × 500,175
  4. Step 4: Simplify right side
    235,386x = 250,175,030,625
  5. Step 5: Solve for x
    x = 250,175,030,625/235,386
  6. Step 6: Final answer
    x = 1,062,828.85

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.