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Finding the Third Proportional to 533,705 and 811,556

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Solution

The third proportional to 533,705 and 811,556 is: 1,234,058.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,705 : 811,556 = 811,556 : x
  2. Step 2: Convert to fraction form
    533,705/811,556 = 811,556/x
  3. Step 3: Cross multiply
    533,705x = 811,556 × 811,556
  4. Step 4: Simplify right side
    533,705x = 658,623,141,136
  5. Step 5: Solve for x
    x = 658,623,141,136/533,705
  6. Step 6: Final answer
    x = 1,234,058.41

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.