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Finding the Third Proportional to 278,502 and 594,588

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Solution

The third proportional to 278,502 and 594,588 is: 1,269,415.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,502 : 594,588 = 594,588 : x
  2. Step 2: Convert to fraction form
    278,502/594,588 = 594,588/x
  3. Step 3: Cross multiply
    278,502x = 594,588 × 594,588
  4. Step 4: Simplify right side
    278,502x = 353,534,889,744
  5. Step 5: Solve for x
    x = 353,534,889,744/278,502
  6. Step 6: Final answer
    x = 1,269,415.98

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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.