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Finding the Third Proportional to 236,500 and 546,942

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Solution

The third proportional to 236,500 and 546,942 is: 1,264,886.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,500 : 546,942 = 546,942 : x
  2. Step 2: Convert to fraction form
    236,500/546,942 = 546,942/x
  3. Step 3: Cross multiply
    236,500x = 546,942 × 546,942
  4. Step 4: Simplify right side
    236,500x = 299,145,551,364
  5. Step 5: Solve for x
    x = 299,145,551,364/236,500
  6. Step 6: Final answer
    x = 1,264,886.05

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.