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Finding the Third Proportional to 434,996 and 633,556

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Solution

The third proportional to 434,996 and 633,556 is: 922,751.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,996 : 633,556 = 633,556 : x
  2. Step 2: Convert to fraction form
    434,996/633,556 = 633,556/x
  3. Step 3: Cross multiply
    434,996x = 633,556 × 633,556
  4. Step 4: Simplify right side
    434,996x = 401,393,205,136
  5. Step 5: Solve for x
    x = 401,393,205,136/434,996
  6. Step 6: Final answer
    x = 922,751.49

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.