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Finding the Third Proportional to 280,071 and 604,611

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Solution

The third proportional to 280,071 and 604,611 is: 1,305,220.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,071 : 604,611 = 604,611 : x
  2. Step 2: Convert to fraction form
    280,071/604,611 = 604,611/x
  3. Step 3: Cross multiply
    280,071x = 604,611 × 604,611
  4. Step 4: Simplify right side
    280,071x = 365,554,461,321
  5. Step 5: Solve for x
    x = 365,554,461,321/280,071
  6. Step 6: Final answer
    x = 1,305,220.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.