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Finding the Third Proportional to 459,480 and 671,398

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Solution

The third proportional to 459,480 and 671,398 is: 981,055.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,480 : 671,398 = 671,398 : x
  2. Step 2: Convert to fraction form
    459,480/671,398 = 671,398/x
  3. Step 3: Cross multiply
    459,480x = 671,398 × 671,398
  4. Step 4: Simplify right side
    459,480x = 450,775,274,404
  5. Step 5: Solve for x
    x = 450,775,274,404/459,480
  6. Step 6: Final answer
    x = 981,055.27

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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.