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Finding the Third Proportional to 433,202 and 646,211

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Solution

The third proportional to 433,202 and 646,211 is: 963,958.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,202 : 646,211 = 646,211 : x
  2. Step 2: Convert to fraction form
    433,202/646,211 = 646,211/x
  3. Step 3: Cross multiply
    433,202x = 646,211 × 646,211
  4. Step 4: Simplify right side
    433,202x = 417,588,656,521
  5. Step 5: Solve for x
    x = 417,588,656,521/433,202
  6. Step 6: Final answer
    x = 963,958.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.