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Finding the Third Proportional to 202,441 and 429,789

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Solution

The third proportional to 202,441 and 429,789 is: 912,456.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,441 : 429,789 = 429,789 : x
  2. Step 2: Convert to fraction form
    202,441/429,789 = 429,789/x
  3. Step 3: Cross multiply
    202,441x = 429,789 × 429,789
  4. Step 4: Simplify right side
    202,441x = 184,718,584,521
  5. Step 5: Solve for x
    x = 184,718,584,521/202,441
  6. Step 6: Final answer
    x = 912,456.39

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.