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Finding the Third Proportional to 406,974 and 598,284

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Solution

The third proportional to 406,974 and 598,284 is: 879,524.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,974 : 598,284 = 598,284 : x
  2. Step 2: Convert to fraction form
    406,974/598,284 = 598,284/x
  3. Step 3: Cross multiply
    406,974x = 598,284 × 598,284
  4. Step 4: Simplify right side
    406,974x = 357,943,744,656
  5. Step 5: Solve for x
    x = 357,943,744,656/406,974
  6. Step 6: Final answer
    x = 879,524.85

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.