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Finding the Third Proportional to 429,182 and 663,501

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Solution

The third proportional to 429,182 and 663,501 is: 1,025,750.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,182 : 663,501 = 663,501 : x
  2. Step 2: Convert to fraction form
    429,182/663,501 = 663,501/x
  3. Step 3: Cross multiply
    429,182x = 663,501 × 663,501
  4. Step 4: Simplify right side
    429,182x = 440,233,577,001
  5. Step 5: Solve for x
    x = 440,233,577,001/429,182
  6. Step 6: Final answer
    x = 1,025,750.33

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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.