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Finding the Third Proportional to 270,433 and 577,060

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Solution

The third proportional to 270,433 and 577,060 is: 1,231,352.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,433 : 577,060 = 577,060 : x
  2. Step 2: Convert to fraction form
    270,433/577,060 = 577,060/x
  3. Step 3: Cross multiply
    270,433x = 577,060 × 577,060
  4. Step 4: Simplify right side
    270,433x = 332,998,243,600
  5. Step 5: Solve for x
    x = 332,998,243,600/270,433
  6. Step 6: Final answer
    x = 1,231,352.10

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.