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Finding the Third Proportional to 459,476 and 671,392

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Solution

The third proportional to 459,476 and 671,392 is: 981,046.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,476 : 671,392 = 671,392 : x
  2. Step 2: Convert to fraction form
    459,476/671,392 = 671,392/x
  3. Step 3: Cross multiply
    459,476x = 671,392 × 671,392
  4. Step 4: Simplify right side
    459,476x = 450,767,217,664
  5. Step 5: Solve for x
    x = 450,767,217,664/459,476
  6. Step 6: Final answer
    x = 981,046.27

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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.