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Finding the Third Proportional to 236,506 and 508,004

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Solution

The third proportional to 236,506 and 508,004 is: 1,091,169.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,506 : 508,004 = 508,004 : x
  2. Step 2: Convert to fraction form
    236,506/508,004 = 508,004/x
  3. Step 3: Cross multiply
    236,506x = 508,004 × 508,004
  4. Step 4: Simplify right side
    236,506x = 258,068,064,016
  5. Step 5: Solve for x
    x = 258,068,064,016/236,506
  6. Step 6: Final answer
    x = 1,091,169.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.