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Finding the Third Proportional to 236,688 and 517,602

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Solution

The third proportional to 236,688 and 517,602 is: 1,131,919.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,688 : 517,602 = 517,602 : x
  2. Step 2: Convert to fraction form
    236,688/517,602 = 517,602/x
  3. Step 3: Cross multiply
    236,688x = 517,602 × 517,602
  4. Step 4: Simplify right side
    236,688x = 267,911,830,404
  5. Step 5: Solve for x
    x = 267,911,830,404/236,688
  6. Step 6: Final answer
    x = 1,131,919.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.