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Finding the Third Proportional to 289,523 and 439,205

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Solution

The third proportional to 289,523 and 439,205 is: 666,271.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,523 : 439,205 = 439,205 : x
  2. Step 2: Convert to fraction form
    289,523/439,205 = 439,205/x
  3. Step 3: Cross multiply
    289,523x = 439,205 × 439,205
  4. Step 4: Simplify right side
    289,523x = 192,901,032,025
  5. Step 5: Solve for x
    x = 192,901,032,025/289,523
  6. Step 6: Final answer
    x = 666,271.87

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.