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Finding the Third Proportional to 246,834 and 532,056

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Solution

The third proportional to 246,834 and 532,056 is: 1,146,858.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,834 : 532,056 = 532,056 : x
  2. Step 2: Convert to fraction form
    246,834/532,056 = 532,056/x
  3. Step 3: Cross multiply
    246,834x = 532,056 × 532,056
  4. Step 4: Simplify right side
    246,834x = 283,083,587,136
  5. Step 5: Solve for x
    x = 283,083,587,136/246,834
  6. Step 6: Final answer
    x = 1,146,858.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.