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Finding the Third Proportional to 406,956 and 598,668

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Solution

The third proportional to 406,956 and 598,668 is: 880,693.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,956 : 598,668 = 598,668 : x
  2. Step 2: Convert to fraction form
    406,956/598,668 = 598,668/x
  3. Step 3: Cross multiply
    406,956x = 598,668 × 598,668
  4. Step 4: Simplify right side
    406,956x = 358,403,374,224
  5. Step 5: Solve for x
    x = 358,403,374,224/406,956
  6. Step 6: Final answer
    x = 880,693.18

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Why These Related Problems?

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