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Finding the Third Proportional to 245,136 and 506,016

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Solution

The third proportional to 245,136 and 506,016 is: 1,044,531.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,136 : 506,016 = 506,016 : x
  2. Step 2: Convert to fraction form
    245,136/506,016 = 506,016/x
  3. Step 3: Cross multiply
    245,136x = 506,016 × 506,016
  4. Step 4: Simplify right side
    245,136x = 256,052,192,256
  5. Step 5: Solve for x
    x = 256,052,192,256/245,136
  6. Step 6: Final answer
    x = 1,044,531.17

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.