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Finding the Third Proportional to 264,953 and 409,337

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Solution

The third proportional to 264,953 and 409,337 is: 632,401.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,953 : 409,337 = 409,337 : x
  2. Step 2: Convert to fraction form
    264,953/409,337 = 409,337/x
  3. Step 3: Cross multiply
    264,953x = 409,337 × 409,337
  4. Step 4: Simplify right side
    264,953x = 167,556,779,569
  5. Step 5: Solve for x
    x = 167,556,779,569/264,953
  6. Step 6: Final answer
    x = 632,401.90

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.