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Finding the Third Proportional to 422,061 and 604,587

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Solution

The third proportional to 422,061 and 604,587 is: 866,048.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,061 : 604,587 = 604,587 : x
  2. Step 2: Convert to fraction form
    422,061/604,587 = 604,587/x
  3. Step 3: Cross multiply
    422,061x = 604,587 × 604,587
  4. Step 4: Simplify right side
    422,061x = 365,525,440,569
  5. Step 5: Solve for x
    x = 365,525,440,569/422,061
  6. Step 6: Final answer
    x = 866,048.84

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.