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Finding the Third Proportional to 278,018 and 595,402

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Solution

The third proportional to 278,018 and 595,402 is: 1,275,110.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,018 : 595,402 = 595,402 : x
  2. Step 2: Convert to fraction form
    278,018/595,402 = 595,402/x
  3. Step 3: Cross multiply
    278,018x = 595,402 × 595,402
  4. Step 4: Simplify right side
    278,018x = 354,503,541,604
  5. Step 5: Solve for x
    x = 354,503,541,604/278,018
  6. Step 6: Final answer
    x = 1,275,110.03

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.