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Finding the Third Proportional to 406,980 and 598,292

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Solution

The third proportional to 406,980 and 598,292 is: 879,535.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,980 : 598,292 = 598,292 : x
  2. Step 2: Convert to fraction form
    406,980/598,292 = 598,292/x
  3. Step 3: Cross multiply
    406,980x = 598,292 × 598,292
  4. Step 4: Simplify right side
    406,980x = 357,953,317,264
  5. Step 5: Solve for x
    x = 357,953,317,264/406,980
  6. Step 6: Final answer
    x = 879,535.40

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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.