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Finding the Third Proportional to 356,954 and 525,556

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Solution

The third proportional to 356,954 and 525,556 is: 773,794.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,954 : 525,556 = 525,556 : x
  2. Step 2: Convert to fraction form
    356,954/525,556 = 525,556/x
  3. Step 3: Cross multiply
    356,954x = 525,556 × 525,556
  4. Step 4: Simplify right side
    356,954x = 276,209,109,136
  5. Step 5: Solve for x
    x = 276,209,109,136/356,954
  6. Step 6: Final answer
    x = 773,794.69

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.