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Finding the Third Proportional to 235,452 and 512,935.50

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Solution

The third proportional to 235,452 and 512,935.50 is: 1,117,437.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,452 : 512,935.50 = 512,935.50 : x
  2. Step 2: Convert to fraction form
    235,452/512,935.50 = 512,935.50/x
  3. Step 3: Cross multiply
    235,452x = 512,935.50 × 512,935.50
  4. Step 4: Simplify right side
    235,452x = 263,102,827,160.25
  5. Step 5: Solve for x
    x = 263,102,827,160.25/235,452
  6. Step 6: Final answer
    x = 1,117,437.22

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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.