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Finding the Third Proportional to 272,937 and 592,260

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Solution

The third proportional to 272,937 and 592,260 is: 1,285,175.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,937 : 592,260 = 592,260 : x
  2. Step 2: Convert to fraction form
    272,937/592,260 = 592,260/x
  3. Step 3: Cross multiply
    272,937x = 592,260 × 592,260
  4. Step 4: Simplify right side
    272,937x = 350,771,907,600
  5. Step 5: Solve for x
    x = 350,771,907,600/272,937
  6. Step 6: Final answer
    x = 1,285,175.36

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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.