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Finding the Third Proportional to 413,045 and 603,711

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Solution

The third proportional to 413,045 and 603,711 is: 882,390.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,045 : 603,711 = 603,711 : x
  2. Step 2: Convert to fraction form
    413,045/603,711 = 603,711/x
  3. Step 3: Cross multiply
    413,045x = 603,711 × 603,711
  4. Step 4: Simplify right side
    413,045x = 364,466,971,521
  5. Step 5: Solve for x
    x = 364,466,971,521/413,045
  6. Step 6: Final answer
    x = 882,390.47

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.