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Finding the Third Proportional to 433,232 and 669,516

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Solution

The third proportional to 433,232 and 669,516 is: 1,034,668.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,232 : 669,516 = 669,516 : x
  2. Step 2: Convert to fraction form
    433,232/669,516 = 669,516/x
  3. Step 3: Cross multiply
    433,232x = 669,516 × 669,516
  4. Step 4: Simplify right side
    433,232x = 448,251,674,256
  5. Step 5: Solve for x
    x = 448,251,674,256/433,232
  6. Step 6: Final answer
    x = 1,034,668.89

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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.