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Finding the Third Proportional to 236,516 and 525,518

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Solution

The third proportional to 236,516 and 525,518 is: 1,167,655.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,516 : 525,518 = 525,518 : x
  2. Step 2: Convert to fraction form
    236,516/525,518 = 525,518/x
  3. Step 3: Cross multiply
    236,516x = 525,518 × 525,518
  4. Step 4: Simplify right side
    236,516x = 276,169,168,324
  5. Step 5: Solve for x
    x = 276,169,168,324/236,516
  6. Step 6: Final answer
    x = 1,167,655.33

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.