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Finding the Third Proportional to 422,604 and 575,586

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Solution

The third proportional to 422,604 and 575,586 is: 783,947.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,604 : 575,586 = 575,586 : x
  2. Step 2: Convert to fraction form
    422,604/575,586 = 575,586/x
  3. Step 3: Cross multiply
    422,604x = 575,586 × 575,586
  4. Step 4: Simplify right side
    422,604x = 331,299,243,396
  5. Step 5: Solve for x
    x = 331,299,243,396/422,604
  6. Step 6: Final answer
    x = 783,947.25

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.