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Finding the Third Proportional to 236,396 and 506,011

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Solution

The third proportional to 236,396 and 506,011 is: 1,083,128.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,396 : 506,011 = 506,011 : x
  2. Step 2: Convert to fraction form
    236,396/506,011 = 506,011/x
  3. Step 3: Cross multiply
    236,396x = 506,011 × 506,011
  4. Step 4: Simplify right side
    236,396x = 256,047,132,121
  5. Step 5: Solve for x
    x = 256,047,132,121/236,396
  6. Step 6: Final answer
    x = 1,083,128.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.