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Finding the Third Proportional to 433,222 and 669,502

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Solution

The third proportional to 433,222 and 669,502 is: 1,034,649.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,222 : 669,502 = 669,502 : x
  2. Step 2: Convert to fraction form
    433,222/669,502 = 669,502/x
  3. Step 3: Cross multiply
    433,222x = 669,502 × 669,502
  4. Step 4: Simplify right side
    433,222x = 448,232,928,004
  5. Step 5: Solve for x
    x = 448,232,928,004/433,222
  6. Step 6: Final answer
    x = 1,034,649.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.