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Finding the Third Proportional to 278,942 and 592,768

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Solution

The third proportional to 278,942 and 592,768 is: 1,259,666.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,942 : 592,768 = 592,768 : x
  2. Step 2: Convert to fraction form
    278,942/592,768 = 592,768/x
  3. Step 3: Cross multiply
    278,942x = 592,768 × 592,768
  4. Step 4: Simplify right side
    278,942x = 351,373,901,824
  5. Step 5: Solve for x
    x = 351,373,901,824/278,942
  6. Step 6: Final answer
    x = 1,259,666.53

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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.