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Finding the Third Proportional to 235,280 and 512,032

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Solution

The third proportional to 235,280 and 512,032 is: 1,114,318.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,280 : 512,032 = 512,032 : x
  2. Step 2: Convert to fraction form
    235,280/512,032 = 512,032/x
  3. Step 3: Cross multiply
    235,280x = 512,032 × 512,032
  4. Step 4: Simplify right side
    235,280x = 262,176,769,024
  5. Step 5: Solve for x
    x = 262,176,769,024/235,280
  6. Step 6: Final answer
    x = 1,114,318.13

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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.