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Finding the Third Proportional to 272,946 and 592,512

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Solution

The third proportional to 272,946 and 592,512 is: 1,286,226.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,946 : 592,512 = 592,512 : x
  2. Step 2: Convert to fraction form
    272,946/592,512 = 592,512/x
  3. Step 3: Cross multiply
    272,946x = 592,512 × 592,512
  4. Step 4: Simplify right side
    272,946x = 351,070,470,144
  5. Step 5: Solve for x
    x = 351,070,470,144/272,946
  6. Step 6: Final answer
    x = 1,286,226.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.